Canadian journal of mathematics, ISSN 0008-414X, 10/2019, Volume 71, Issue 5, pp. 1209 - 1241

...}$ a coherent sheaf on a smooth projective manifold $X$ over an algebraic closed field of characteristic $0...

Article | MATHEMATICS | deformation of manifold and coherent sheaf | differential graded Lie algebra | OBSTRUCTIONS | Mathematics - Algebraic Geometry

Article | MATHEMATICS | deformation of manifold and coherent sheaf | differential graded Lie algebra | OBSTRUCTIONS | Mathematics - Algebraic Geometry

Journal Article

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, ISSN 0015-8208, 08/2019, Volume 67, Issue 8-9, p. 1910023

We give an exposition of graded and microformal geometry, and the language of Q-manifolds...

thick morphism | BRACKETS | COHOMOLOGY | graded manifold | PHYSICS, MULTIDISCIPLINARY | MORPHISMS | LIE ALGEBROIDS | DEFORMATIONS | homotopy bracket | microformal morphism | Conferences, meetings and seminars | Conferences and conventions | Algebra

thick morphism | BRACKETS | COHOMOLOGY | graded manifold | PHYSICS, MULTIDISCIPLINARY | MORPHISMS | LIE ALGEBROIDS | DEFORMATIONS | homotopy bracket | microformal morphism | Conferences, meetings and seminars | Conferences and conventions | Algebra

Journal Article

Engineering Fracture Mechanics, ISSN 0013-7944, 03/2019, Volume 208, pp. 90 - 106

[Display omitted] •Thermal shock fracture of 2D FGMs is modeled with numerical manifold method...

Thermal stress intensity factors | Thermal shock crack | Functionally graded materials | Numerical manifold method | Transient temperature | BARRIER COATINGS | PLATES | HEAT-CONDUCTION PROBLEMS | THERMOMECHANICAL FRACTURE | MECHANICS | STRESS ANALYSIS | FRACTURE-ANALYSIS | INTERFACE CRACKS | SOLIDS | EDGE CRACK | PROPAGATION | Thermal stress | Crack tips | Stress intensity factors | Computer simulation | Thermal shock | Two dimensional models | Mathematical models | Transient heat transfer | Functionally gradient materials | Manifolds (mathematics) | Heat flux

Thermal stress intensity factors | Thermal shock crack | Functionally graded materials | Numerical manifold method | Transient temperature | BARRIER COATINGS | PLATES | HEAT-CONDUCTION PROBLEMS | THERMOMECHANICAL FRACTURE | MECHANICS | STRESS ANALYSIS | FRACTURE-ANALYSIS | INTERFACE CRACKS | SOLIDS | EDGE CRACK | PROPAGATION | Thermal stress | Crack tips | Stress intensity factors | Computer simulation | Thermal shock | Two dimensional models | Mathematical models | Transient heat transfer | Functionally gradient materials | Manifolds (mathematics) | Heat flux

Journal Article

International Journal of Mechanical Sciences, ISSN 0020-7403, 11/2018, Volume 148, pp. 103 - 117

•Thermoelastic fracture of 2D FGMs is simulated by the numerical manifold method...

Thermal stress intensity factors | Thermo-mechanical crack | Temperature | Functionally graded materials | Numerical manifold method | ELEMENT-METHOD | GALERKIN METHOD | STRESS-INTENSITY FACTORS | POROUS ROCK | ENGINEERING, MECHANICAL | MECHANICS | THERMAL-SHOCK | FRACTURE-ANALYSIS | SOLIDS | CIRCUMFERENTIAL CRACK | PROPAGATION

Thermal stress intensity factors | Thermo-mechanical crack | Temperature | Functionally graded materials | Numerical manifold method | ELEMENT-METHOD | GALERKIN METHOD | STRESS-INTENSITY FACTORS | POROUS ROCK | ENGINEERING, MECHANICAL | MECHANICS | THERMAL-SHOCK | FRACTURE-ANALYSIS | SOLIDS | CIRCUMFERENTIAL CRACK | PROPAGATION

Journal Article

Pacific Journal of Mathematics, ISSN 0030-8730, 2016, Volume 283, Issue 2, pp. 449 - 482

Geometric structures on NQ-manifolds, i.e., nonnegatively graded manifolds with a homological vector field, encode nongraded geometric data on Lie algebroids and their higher analogues...

Lie algebroids | Graded manifolds | Spencer operators | NQ-manifolds | Vector bundle valued differential forms | MATHEMATICS | graded manifolds | JACOBI STRUCTURES | vector bundle valued differential forms | GEOMETRY

Lie algebroids | Graded manifolds | Spencer operators | NQ-manifolds | Vector bundle valued differential forms | MATHEMATICS | graded manifolds | JACOBI STRUCTURES | vector bundle valued differential forms | GEOMETRY

Journal Article

Advances in Mathematics, ISSN 0001-8708, 01/2017, Volume 304, pp. 1156 - 1175

We prove unobstructed deformations for compact Kählerian even-dimensional Poisson manifolds whose Poisson tensor degenerates along a divisor with mild singularities...

Symplectic structure | Deformation theory | Log complex | Complex structure | Poisson structure | Differential graded Lie algebra | Mixed Hodge theory | Schouten algebra

Symplectic structure | Deformation theory | Log complex | Complex structure | Poisson structure | Differential graded Lie algebra | Mixed Hodge theory | Schouten algebra

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 06/2018, pp. 1 - 51

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 2012, Volume 62, Issue 2, pp. 464 - 478

In this paper we study the problem of small deformations of D-structures on compact manifolds...

Para-complex structure | Deformation | Para-CR structure | Differential graded Lie algebra | CR D-structure | D-structure | MATHEMATICS | PHYSICS, MATHEMATICAL

Para-complex structure | Deformation | Para-CR structure | Differential graded Lie algebra | CR D-structure | D-structure | MATHEMATICS | PHYSICS, MATHEMATICAL

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 2/2019, Volume 109, Issue 2, pp. 243 - 293

...}$$ Z -graded manifolds of degree $$\le 2$$ ≤ 2 . Indeed, a link has been established between the super and classical pictures by the geometrization process, leading to an equivalence of the category of $$\mathbb {Z...

Geometry | Double vector bundle | 32C11 | Theoretical, Mathematical and Computational Physics | Complex Systems | Lie algebroid | Graded manifold | Group Theory and Generalizations | 51P05 | Physics | 53D17

Geometry | Double vector bundle | 32C11 | Theoretical, Mathematical and Computational Physics | Complex Systems | Lie algebroid | Graded manifold | Group Theory and Generalizations | 51P05 | Physics | 53D17

Journal Article

Communications in Contemporary Mathematics, ISSN 0219-1997, 04/2014, Volume 16, Issue 2, pp. 1350015 - 1-1350015-37

We study intrinsic deformations of Levi flat structures on a smooth manifold. A Levi flat structure on a smooth manifold L is a couple (ξ, J) where ξ ⊂ T(L...

Nijenhuis tensor | Levi flat structures | Maurer-Cartan equation | differential graded Lie algebras | complex Lie algebras of derivation type | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | FOLIATION | 3-MANIFOLDS | Manifolds | Deltas | Deformation | Mathematical analysis | Flats | Lie groups | Texts | Joining | Mathematics - Complex Variables

Nijenhuis tensor | Levi flat structures | Maurer-Cartan equation | differential graded Lie algebras | complex Lie algebras of derivation type | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | FOLIATION | 3-MANIFOLDS | Manifolds | Deltas | Deformation | Mathematical analysis | Flats | Lie groups | Texts | Joining | Mathematics - Complex Variables

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 2009, Volume 59, Issue 9, pp. 1285 - 1305

A natural explicit condition is given ensuring that an action of the multiplicative monoid of non-negative reals on a manifold F comes from homotheties of a vector bundle structure on F...

Lie bialgebroids | Courant algebroids | Drinfeld doubles | BRST formalism | Double vector bundles | Graded super-manifolds | LEGENDRE TRANSFORMATION | 2ND-ORDER GEOMETRY | TANGENT | POISSON GROUPOIDS | PHYSICS, MATHEMATICAL | BIALGEBROIDS | MATHEMATICS | DOUBLE LIE ALGEBROIDS | DUALITY | LIFTS | Mathematics - Differential Geometry

Lie bialgebroids | Courant algebroids | Drinfeld doubles | BRST formalism | Double vector bundles | Graded super-manifolds | LEGENDRE TRANSFORMATION | 2ND-ORDER GEOMETRY | TANGENT | POISSON GROUPOIDS | PHYSICS, MATHEMATICAL | BIALGEBROIDS | MATHEMATICS | DOUBLE LIE ALGEBROIDS | DUALITY | LIFTS | Mathematics - Differential Geometry

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 02/2018, Volume 68, Issue 1, pp. 181 - 196

Let G(n, k) denote the complex Grassmann manifold of k-dimensional vector subspaces of C-n. Assume l,k <= [/2...

Grassmann manifold | homotopy class of maps | cohomology algebra | graded algebra homomorphism | MATHEMATICS | COHOMOLOGY | SELF-MAPS | AUTOMORPHISMS | Manifolds (Mathematics) | Homotopy theory | Research | Mathematical research | Mappings (Mathematics) | Subspaces | Maps

Grassmann manifold | homotopy class of maps | cohomology algebra | graded algebra homomorphism | MATHEMATICS | COHOMOLOGY | SELF-MAPS | AUTOMORPHISMS | Manifolds (Mathematics) | Homotopy theory | Research | Mathematical research | Mappings (Mathematics) | Subspaces | Maps

Journal Article

International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 07/2013, Volume 10, Issue 6

Generalized current algebras introduced by Alekseev and Strobl in two dimensions are reconstructed by a graded manifold and a graded Poisson brackets...

QP-manifolds | Dirac structure | differential graded manifolds | Current algebras | DIRAC STRUCTURES | PHYSICS, MATHEMATICAL | GEOMETRY

QP-manifolds | Dirac structure | differential graded manifolds | Current algebras | DIRAC STRUCTURES | PHYSICS, MATHEMATICAL | GEOMETRY

Journal Article

14.
Full Text
RANK TWO TOPOLOGICAL AND INFINITESIMAL EMBEDDED JUMP LOCI OF QUASI-PROJECTIVE MANIFOLDS

Journal of the Institute of Mathematics of Jussieu, ISSN 1474-7480, 02/2018, Volume 19, Issue 2, pp. 1 - 35

We study the germs at the origin of G -representation varieties and the degree 1 cohomology jump loci of fundamental groups of quasi-projective manifolds. Using the Morgan...

admissible map | representation variety | differential graded algebra model | quasi-projective manifold | holonomy Lie algebra | semisimple Lie algebra | cohomology jump loci | analytic germ | Deligne weight filtration | variety of flat connections | REPRESENTATIONS | VARIETIES | MATHEMATICS | COHOMOLOGY | GEOMETRY | Homology | Inclusions | Loci | Subgroups | Linear algebra

admissible map | representation variety | differential graded algebra model | quasi-projective manifold | holonomy Lie algebra | semisimple Lie algebra | cohomology jump loci | analytic germ | Deligne weight filtration | variety of flat connections | REPRESENTATIONS | VARIETIES | MATHEMATICS | COHOMOLOGY | GEOMETRY | Homology | Inclusions | Loci | Subgroups | Linear algebra

Journal Article

Homology, Homotopy and Applications, ISSN 1532-0073, 2012, Volume 14, Issue 2, pp. 63 - 75

.... Geometric examples include the shifted de Rham complex of a Poisson manifold and the subcomplex of differential forms on a symplectic manifold vanishing on a Lagrangian submanifold, endowed with the Koszul bracket...

Batalin-Vilkovisky algebra | Homotopical algebra | Differential graded Lie algebra | Deformation theory | Poisson manifold | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | homotopical algebra | differential graded Lie algebra | deformation theory | 13D10 | 18G55 | 53D17

Batalin-Vilkovisky algebra | Homotopical algebra | Differential graded Lie algebra | Deformation theory | Poisson manifold | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | homotopical algebra | differential graded Lie algebra | deformation theory | 13D10 | 18G55 | 53D17

Journal Article

Proceedings of the Japan Academy Series A: Mathematical Sciences, ISSN 0386-2194, 01/2013, Volume 89, Issue 1, pp. 15 - 19

We introduce a nilpotent Hurewicz homomorphism for a topological manifold, following the Lie algebra method in nilpotent class field theory...

Graded lie algebras | Nilpotent class field theory | Lower central series | Nilpotent hurewicz homomorphism | MATHEMATICS | graded Lie algebras | nilpotent class field theory | lower central series | Nilpotent Hurewicz homomorphism | Manifolds (Mathematics) | Fields, Algebraic | Research | Topology | Mathematical analysis | Algebraic topology | Topological manifolds | Mathematical models | Algebra | Manifolds | Homomorphisms | Lie groups | Series (mathematics) | Field theory | Three dimensional | 57M | 17B

Graded lie algebras | Nilpotent class field theory | Lower central series | Nilpotent hurewicz homomorphism | MATHEMATICS | graded Lie algebras | nilpotent class field theory | lower central series | Nilpotent Hurewicz homomorphism | Manifolds (Mathematics) | Fields, Algebraic | Research | Topology | Mathematical analysis | Algebraic topology | Topological manifolds | Mathematical models | Algebra | Manifolds | Homomorphisms | Lie groups | Series (mathematics) | Field theory | Three dimensional | 57M | 17B

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 7/2013, Volume 103, Issue 7, pp. 729 - 741

We study contact structures on nonnegatively graded manifolds equipped with homological contact vector fields...

Theoretical, Mathematical and Computational Physics | contact manifold | symplectic manifold | Statistical Physics, Dynamical Systems and Complexity | 16E45 | Jacobi manifold | Physics | 53D17 | Poisson manifold | Geometry | differential graded manifold | Group Theory and Generalizations | 58A50 | PHYSICS, MATHEMATICAL

Theoretical, Mathematical and Computational Physics | contact manifold | symplectic manifold | Statistical Physics, Dynamical Systems and Complexity | 16E45 | Jacobi manifold | Physics | 53D17 | Poisson manifold | Geometry | differential graded manifold | Group Theory and Generalizations | 58A50 | PHYSICS, MATHEMATICAL

Journal Article

Engineering Analysis with Boundary Elements, ISSN 0955-7997, 03/2018, Volume 88, pp. 145 - 155

Benefiting from the use of two cover systems, that is, the mathematical cover and the physical cover, the numerical manifold method (NMM...

Temperature | Functionally graded materials | Numerical manifold method | Transient heat conduction | FINITE-ELEMENTS | CRACK ANALYSIS | METHOD MODEL | PRECISE TIME INTEGRATION | ROCK MASSES | FLOW | FRACTURE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | SLOPE STABILITY ANALYSIS | POROUS-MEDIA | WAVE-PROPAGATION

Temperature | Functionally graded materials | Numerical manifold method | Transient heat conduction | FINITE-ELEMENTS | CRACK ANALYSIS | METHOD MODEL | PRECISE TIME INTEGRATION | ROCK MASSES | FLOW | FRACTURE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | SLOPE STABILITY ANALYSIS | POROUS-MEDIA | WAVE-PROPAGATION

Journal Article

Engineering Analysis with Boundary Elements, ISSN 0955-7997, 02/2017, Volume 75, pp. 46 - 56

The numerical manifold method (NMM), combined with the precise time integration method (PTIM...

Stress intensity factors | Numerical manifold method | Thermal shock | Transient temperature field | Crack | Precise time integration method | CYLINDER | SIMULATION | THERMOELASTIC FRACTURE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | FUNCTIONALLY GRADED MATERIALS | CONDUCTION | PARTITION | FINITE-ELEMENT-METHOD | INTERPOLATION COVERS | PROPAGATION | Manifolds | Fracture mechanics | Mathematical analysis | Mathematical models | Thermal analysis | Time integration | Boundary element method

Stress intensity factors | Numerical manifold method | Thermal shock | Transient temperature field | Crack | Precise time integration method | CYLINDER | SIMULATION | THERMOELASTIC FRACTURE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | FUNCTIONALLY GRADED MATERIALS | CONDUCTION | PARTITION | FINITE-ELEMENT-METHOD | INTERPOLATION COVERS | PROPAGATION | Manifolds | Fracture mechanics | Mathematical analysis | Mathematical models | Thermal analysis | Time integration | Boundary element method

Journal Article

Fortschritte der Physik, ISSN 0015-8208, 08/2019, Volume 67, Issue 8-9, p. n/a

We give an exposition of graded and microformal geometry, and the language of Q‐manifolds. Q‐manifolds are supermanifolds endowed with an odd vector field of square zero...

thick morphism | homotopy bracket | graded manifold | microformal morphism

thick morphism | homotopy bracket | graded manifold | microformal morphism

Journal Article

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