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IEEE Transactions on Magnetics, ISSN 0018-9464, 03/2018, Volume 54, Issue 3, pp. 1 - 4
Journal Article
Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 12/2019, Volume 43, Issue 6, pp. 2885 - 2889
In this paper, we solve the $$\partial \bar{\partial }$$ ∂ ∂ ¯ -problem for extensible currents defined on $${\mathbb{C}}^{n}{\setminus } \bar{B}$$ C n \ B ¯... 
32F32 | Engineering | De Rham cohomology group | Life Sciences, general | Chemistry/Food Science, general | Extensible currents | Materials Science, general | Ring | Earth Sciences, general | Engineering, general | Physics, general | partial \bar{\partial }
Journal Article
Differential Geometry and its Applications, ISSN 0926-2245, 04/2015, Volume 39, pp. 184 - 189
Let be a connected and non-necessarily compact Lie group acting on a connected manifold . In this short note we announce the following result: for a -invariant... 
Equivariant Cartan complex | Non-compact Lie group | Equivariant cohomology | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Geometriae Dedicata, ISSN 0046-5755, 10/2005, Volume 115, Issue 1, pp. 181 - 199
Let G be a connected noncompact semisimple Lie group with finite center, K a maximal compact subgroup, and X a compact manifold (or more generally, a Borel... 
parabolic subgroups | stationary measures | 60J50 | Mathematics | de-Rham cohomology | 57S20 | tangential bounded cohomology | Geometry | entropy | Riemannian foliations | 47A35 | 22D40 | 28D15 | semisimple Lie groups | 58E40 | Semisimple Lie groups | De-Rham cohomology | Stationary measures | Entropy | Tangential bounded cohomology | Parabolic subgroups | MATHEMATICS | FOLIATION
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2016, Volume 368, Issue 10, pp. 7097 - 7117
, which provides a counterexample to Atkin and Swinnerton-Dyer's original speculation.]]> 
MATHEMATICS | SWINNERTON-DYER CONGRUENCES | FERMAT-CURVES | ATKIN
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 11/2001, Volume 83, Issue 3, pp. 743 - 768
Let Γ=Γτ,z be one of the N2‐dimensional bicovariant first order differential calculi for the quantum groups GLq(N), SLq(N), SOq(N), or Spq(N), where q is a... 
bicovariant differential calculi | Hodge theory | Laplace‐Beltrami operator | de Rham cohomology | quantum groups | MATHEMATICS | ALGEBRAS | REPRESENTATIONS | BICOVARIANT DIFFERENTIAL CALCULI
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 05/2016, Volume 57, Issue 5, p. 53502
Being motivated by open questions in gauge field theories, we consider non-standard de Rham cohomology groups for timelike compact and spacelike compact... 
LORENTZIAN MANIFOLDS | HYPERSURFACES | EQUATIONS | LOCAL COVARIANCE | PHYSICS, MATHEMATICAL | CURVED SPACETIMES | QUANTUM-FIELD-THEORY | Support systems | DUALITY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | QUANTUM FIELD THEORY | GAUGE INVARIANCE | VECTOR FIELDS
Journal Article
Modern Physics Letters A, ISSN 0217-7323, 09/2010, Volume 25, Issue 29, pp. 2529 - 2539
We exploit the 't Hooft–Polyakov monopole to construct closed algebra of the quantum field operators and the BRST charge QBRST. In the first-class... 
Dirac quantization | Bogomol'nyi bound | de Rham type cohomology | t Hooft-Polyakov monopole | BRST symmetry | GAUGE THEORIES | PARTICLE | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | QUANTUM-FIELD-THEORY | MECHANICS | DYNAMIC-SYSTEMS | QUANTIZATION | 2ND-CLASS CONSTRAINTS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
São Paulo Journal of Mathematical Sciences, ISSN 1982-6907, 12/2019, Volume 13, Issue 2, pp. 539 - 596
This is a survey on the equivariant cohomology of Lie group actions on manifolds, from the point of view of de Rham theory. Emphasis is put on the notion of... 
Equivariant Cohomology | Mathematics, general | Equivariant formality | Fixed points | Mathematics | Lie group actions | Cartan model
Journal Article
Selecta Mathematica, ISSN 1022-1824, 6/1998, Volume 4, Issue 2, pp. 321 - 359
We study Hochschild and cyclic homology of finite type algebras using abelian stratifications of their primitive ideal spectrum. Hochschild homology turns out... 
Hochschild homology, cyclic homology, p-adic groups, de Rham cohomology | Mathematics, general | Mathematics | Cyclic homology | Hochschild homology | P-adic groups | De Rharn cohomology
Journal Article
Bulletin des sciences mathématiques, ISSN 0007-4497, 01/2014, Volume 138, Issue 1, pp. 2 - 40
Given a compact stratified pseudomanifold with a Thom–Mather stratification and a class of riemannian metrics over its regular part, we study the relationships... 
Intersection cohomology | Stratified pseudomanifold | [formula omitted]-cohomology | Hodge cohomology | General perversity | cohomology
Journal Article
Mathematical Research Letters, ISSN 1073-2780, 2014, Volume 21, Issue 2, pp. 281 - 288
In their paper, which introduced Monsky-Washnitzer cohomology, Monsky and Washnitzer described conditions under which the definition can be adapted to give... 
MATHEMATICS
Journal Article
Transformation Groups, ISSN 1083-4362, 9/2016, Volume 21, Issue 3, pp. 653 - 680
For a simply connected (non-nilpotent) solvable Lie group G with a lattice Γ the de Rham and Dolbeault cohomologies of the solvmanifold G/Γ are not in general... 
Topological Groups, Lie Groups | Mathematics | Algebra | MATHEMATICS | LOCAL SYSTEMS | MODELS | SOLVABLE LIE-GROUPS | POLYNOMIAL STRUCTURES | COMPLEX STRUCTURES | COMPACT NILMANIFOLDS | SURFACES
Journal Article
Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 08/2018, Volume 61, Issue 3, pp. 869 - 877
We invoke the classical fact that the algebra of bi-invariant forms on a compact connected Lie group G is naturally isomorphic to the de Rham cohomology... 
de Rham cohomology | flat principal bundle | adjoint bundle | MATHEMATICS | SELF-DUAL INSTANTONS | Bundling | Homomorphisms | Homology | Lie groups
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 08/2019, Volume 21, Issue 5, p. 1850067
Grothendieck has proved that each class in the de Rham cohomology of a smooth complex affine variety can be represented by a differential form with polynomial... 
differential forms | effective degree bound | Gysin sequence | Algebraic de Rham cohomology | MATHEMATICS | MATHEMATICS, APPLIED | BETTI NUMBERS | BOUNDS | COMPLEXITY | ELIMINATION
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 04/2004, Volume 247, Issue 2, pp. 223 - 240
We define de Rham cohomology groups for rigid spaces over non-archimedean fields of characteristic zero, based on the notion of dagger space introduced in... 
Mathematics | MATHEMATICS | FINITENESS | THEOREM | INVARIANT
Journal Article
Indagationes Mathematicae, ISSN 0019-3577, 2011, Volume 21, Issue 3, pp. 212 - 220
Let be a foliated manifold. We prove that there is a canonical isomorphism between the complex of base-like forms of the foliation and the “De Rham complex” of... 
De Rham cohomology | Foliation | Base-like cohomology | Diffeological space | INTEGRALS | MATHEMATICS | LIE FOLIATIONS
Journal Article
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