2011, Progress in mathematics, ISBN 9780817647346, Volume 287, xv, 362

Centered on the higher algebraic structures in the work of Murray Gerstenhaber and Jim Stasheff, now ubiquitous in various areas of mathematics and theoretical...

Gerstenhaber, Murray, 1927 | Stasheff, James D | Mathematical physics | Geometry, Algebraic | Mathematics | Algebraic Geometry | Mathematical Methods in Physics | Group Theory and Generalizations | Applications of Mathematics | Topological Groups, Lie Groups | Ordered algebraic structures | Homotopy theory

Gerstenhaber, Murray, 1927 | Stasheff, James D | Mathematical physics | Geometry, Algebraic | Mathematics | Algebraic Geometry | Mathematical Methods in Physics | Group Theory and Generalizations | Applications of Mathematics | Topological Groups, Lie Groups | Ordered algebraic structures | Homotopy theory

Book

1993, Lecture notes in mathematics, ISBN 0387566236, Volume 1542., vii, 431

Book

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, ISSN 0015-8208, 08/2019, Volume 67, Issue 8-9, p. 1910015

A brief overview of the recent developments of operadic and higher categorical techniques in algebraic quantum field theory is given. The relevance of such...

RECTIFICATION | model categories | PHYSICS, MULTIDISCIPLINARY | operads | stacks | RESOLUTION | gauge theory | algebraic quantum field theory | YANG-MILLS FIELDS | HOMOTOPY-THEORY | CATEGORIES | HOMOLOGY | String theory | Conferences, meetings and seminars | Conferences and conventions | Analysis

RECTIFICATION | model categories | PHYSICS, MULTIDISCIPLINARY | operads | stacks | RESOLUTION | gauge theory | algebraic quantum field theory | YANG-MILLS FIELDS | HOMOTOPY-THEORY | CATEGORIES | HOMOLOGY | String theory | Conferences, meetings and seminars | Conferences and conventions | Analysis

Journal Article

Publications mathÃ©matiques de l'IHÃ‰S, ISSN 0073-8301, 6/2013, Volume 117, Issue 1, pp. 271 - 328

This is the first of a series of papers about quantization in the context of derived algebraic geometry. In this first part, we introduce the notion of...

Geometry | Mathematics, general | Mathematics | Algebra | Number Theory | Analysis | MATHEMATICS | ALGEBRAS | K3 SURFACE | COMPLEXES | MODULI SPACE | CATEGORIES | EQUATION | SHEAVES | GEOMETRY | Algebraic Geometry

Geometry | Mathematics, general | Mathematics | Algebra | Number Theory | Analysis | MATHEMATICS | ALGEBRAS | K3 SURFACE | COMPLEXES | MODULI SPACE | CATEGORIES | EQUATION | SHEAVES | GEOMETRY | Algebraic Geometry

Journal Article

Theory of Computing Systems, ISSN 1432-4350, 11/2017, Volume 61, Issue 4, pp. 1254 - 1287

Semiautomatic structures generalise automatic structures in the sense that for some of the relations and functions in the structure one only requires the...

Automatic structures | Semiautomatic structures | Basic algebraic structures | Automata theory | Groups | Computer Science | Rings | Theory of Computation | MATHEMATICS | COMPUTER SCIENCE, THEORY & METHODS | Computer science | Robots | Algebra | Representations | Theory

Automatic structures | Semiautomatic structures | Basic algebraic structures | Automata theory | Groups | Computer Science | Rings | Theory of Computation | MATHEMATICS | COMPUTER SCIENCE, THEORY & METHODS | Computer science | Robots | Algebra | Representations | Theory

Journal Article

Annals of Global Analysis and Geometry, ISSN 0232-704X, 12/2013, Volume 44, Issue 4, pp. 455 - 469

We study the basic properties of Higgs sheaves over compact KÃ¤hler manifolds and establish some results concerning the notion of semistability; in particular,...

Geometry | Mathematics | Group Theory and Generalizations | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | Theoretical, Mathematical and Computational Physics | MATHEMATICS | STABLE VECTOR-BUNDLES | CONNECTIONS | THEOREM | Studies | Theorems | Algebra | Topological manifolds | Mathematical models | Approximation

Geometry | Mathematics | Group Theory and Generalizations | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | Theoretical, Mathematical and Computational Physics | MATHEMATICS | STABLE VECTOR-BUNDLES | CONNECTIONS | THEOREM | Studies | Theorems | Algebra | Topological manifolds | Mathematical models | Approximation

Journal Article

2012, 1st ed., Oxford mathematical monographs, ISBN 9780199664511, x, 220

This unique and comprehensive volume provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic...

Mathematics | Noncommutative rings | algebra | Artin rings | Noetherian rings | Commutative rings | Cs modules | Injective modules | Quasi-injective modules | Continuous modules | Cyclic modules | Factor rings | N-injective modules | Proper cyclic modules | Cycles

Mathematics | Noncommutative rings | algebra | Artin rings | Noetherian rings | Commutative rings | Cs modules | Injective modules | Quasi-injective modules | Continuous modules | Cyclic modules | Factor rings | N-injective modules | Proper cyclic modules | Cycles

Book

2017, Graduate studies in mathematics, ISBN 9781470437701, Volume 183, xxi, 637 pages

Algebraic geometry -- (Co)homology theory -- Ã‰tale and other Grothendieck topologies and (co)homologies | Commutative algebra -- Instructional exposition (textbooks, tutorial papers, etc.) | Commutative algebra -- General commutative ring theory -- Ideals; multiplicative ideal theory | Separable algebras | Algebraic geometry -- Local theory -- Local structure of morphisms: Ã‰tale, flat, etc | Commutative algebra -- Ring extensions and related topics -- Galois theory | Associative rings and algebras -- Algebras and orders -- Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) | Commutative algebra -- Ring extensions and related topics -- Ã‰tale and flat extensions; Henselization; Artin approximation | Associative rings | Associative rings and algebras -- Instructional exposition (textbooks, tutorial papers, etc.) | Commutative algebra -- Theory of modules and ideals -- Class groups

Book

2013, Mathematical surveys and monographs, ISBN 9780821898468, Volume 189, xiii, 336

Book

Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, 2017, Volume 21, Issue 4, pp. 977 - 1021

We introduce the notion of mixed trTLEP-structures and prove that a mixed trTLEP-structure with some conditions naturally induces a mixed Frobenius manifold....

MANIFOLDS | PHYSICS, MATHEMATICAL | HODGE STRUCTURE | PHYSICS, PARTICLES & FIELDS | Mathematics - Algebraic Geometry

MANIFOLDS | PHYSICS, MATHEMATICAL | HODGE STRUCTURE | PHYSICS, PARTICLES & FIELDS | Mathematics - Algebraic Geometry

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2016, Volume 2016, Issue 11, p. 1

We expand upon a claim made in a recent paper [arXiv: 1411.5721] that generic minimally supersymmetric AdS backgrounds of warped flux compactifications of Type...

AdS-CFT Correspondence | Flux compactifications | Superstring Vacua | Differential and Algebraic Geometry | HOLONOMY | PHYSICS, PARTICLES & FIELDS | Police

AdS-CFT Correspondence | Flux compactifications | Superstring Vacua | Differential and Algebraic Geometry | HOLONOMY | PHYSICS, PARTICLES & FIELDS | Police

Journal Article

manuscripta mathematica, ISSN 0025-2611, 1/2018, Volume 155, Issue 1, pp. 89 - 113

Let $$G=H\ltimes K$$ G = H â‹‰ K denote a semidirect product Lie group with Lie algebra $$\mathfrak {g} =\mathfrak {h} \oplus \mathfrak {k} $$ g = h âŠ• k , where...

Geometry | 22E25 | 17B56 | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | 53C55 | 53D05 | Mathematics, general | Algebraic Geometry | Mathematics | 53C15 | Number Theory | MATHEMATICS | ALGEBRAS | Algebra

Geometry | 22E25 | 17B56 | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | 53C55 | 53D05 | Mathematics, general | Algebraic Geometry | Mathematics | 53C15 | Number Theory | MATHEMATICS | ALGEBRAS | Algebra

Journal Article

International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 04/2015, Volume 12, Issue 4, pp. 1550041 - 1-1550041-24

String structures in degree 4 are associated with cancelation of anomalies of string theory in 10 dimensions. Fivebrane structures in degree 8 have recently...

Differential cohomology | Whitehead tower | Obstruction theory | String group | Twisted structures | Anomalies | obstruction theory | string group | twisted structures | TOPOLOGICAL STRUCTURES | differential cohomology | CHERN-SIMONS | PHYSICS, MATHEMATICAL | anomalies | String theory | Topology | M theory | Strings

Differential cohomology | Whitehead tower | Obstruction theory | String group | Twisted structures | Anomalies | obstruction theory | string group | twisted structures | TOPOLOGICAL STRUCTURES | differential cohomology | CHERN-SIMONS | PHYSICS, MATHEMATICAL | anomalies | String theory | Topology | M theory | Strings

Journal Article

COMPOSITIO MATHEMATICA, ISSN 0010-437X, 02/2019, Volume 155, Issue 2, pp. 372 - 412

We introduce relative noncommutative Calabi-Yau structures defined on functors of differential graded categories. Examples arise in various contexts such as...

MATHEMATICS | noncommutative Calabi-Yau structures | differential graded categories | CYCLIC HOMOLOGY | CATEGORIES | Geometry | Hypotheses | Composition | Riemann surfaces | Algebra | Monographs | Jargon | Mathematics | Topology | Symmetry

MATHEMATICS | noncommutative Calabi-Yau structures | differential graded categories | CYCLIC HOMOLOGY | CATEGORIES | Geometry | Hypotheses | Composition | Riemann surfaces | Algebra | Monographs | Jargon | Mathematics | Topology | Symmetry

Journal Article

15.
Colored operads

2016, Graduate studies in mathematics, ISBN 9781470427238, Volume 170, xxviii, 428

Category theory; homological algebra -- Categories with structure -- Enriched categories (over closed or monoidal categories) | Algebra, Homological | Order, lattices, ordered algebraic structures -- Ordered structures -- Ordered semigroups and monoids | Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories | Combinatorics -- Instructional exposition (textbooks, tutorial papers, etc.) | Knot theory | Operads | Category theory; homological algebra -- Categories with structure -- Operads | Category theory; homological algebra -- General theory of categories and functors -- Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)

Book

manuscripta mathematica, ISSN 0025-2611, 5/2019, Volume 159, Issue 1, pp. 39 - 56

A co-Higgs sheaf on a smooth complex projective variety X is a pair of a torsion-free coherent sheaf $$\mathcal {E}$$ E and a global section of $$\mathcal...

Geometry | Secondary: 14D20 | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | Mathematics, general | Algebraic Geometry | Primary: 14J60 | Mathematics | Number Theory | 53D18 | MATHEMATICS | BUNDLES

Geometry | Secondary: 14D20 | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | Mathematics, general | Algebraic Geometry | Primary: 14J60 | Mathematics | Number Theory | 53D18 | MATHEMATICS | BUNDLES

Journal Article

2008, Undergraduate texts in mathematics, ISBN 1441926747, xv, 523

An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject....

Cryptography | Coding theory | Mathematics | Applications of Computing | Signs and symbols | Information and Communication, Circuits | Data Structures, Cryptology and Information Theory | Data Encryption | Coding and Information Theory | Order, Lattices, Ordered Algebraic Structures | Number Theory

Cryptography | Coding theory | Mathematics | Applications of Computing | Signs and symbols | Information and Communication, Circuits | Data Structures, Cryptology and Information Theory | Data Encryption | Coding and Information Theory | Order, Lattices, Ordered Algebraic Structures | Number Theory

Book

Journal of Topology, ISSN 1753-8416, 03/2020, Volume 13, Issue 1, pp. 59 - 76

A Quillen model structure is presented by an interacting pair of weak factorization systems. We prove that in the world of locally presentable categories, any...

55U35 (primary) | 18G55 | 18C35

55U35 (primary) | 18G55 | 18C35

Journal Article

2007, 1st ed., ISBN 9780444528704, xvi, 801

Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled "The logic of quantum mechanics quantum logic, i.e. the logical investigation...

Quantum logic | Quantum theory | Mathematics

Quantum logic | Quantum theory | Mathematics

Book

New Generation Computing, ISSN 0288-3635, 7/2018, Volume 36, Issue 3, pp. 281 - 306

Reversible computation has attracted increasing interest in recent years. In this paper, we show how to model reversibility in concurrent computation as...

Computer Systems Organization and Communication Networks | Computer Hardware | Configuration system | Computer Science | Reversible asymmetric event structure | Artificial Intelligence (incl. Robotics) | Software Engineering/Programming and Operating Systems | Computing Methodologies | Reversible computation | Enabling with prevention relation | PETRI NETS | PI-CALCULUS | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | ALGEBRAIC PROCESS CALCULI | SYSTEMS | REVERSIBILITY | COMPUTER SCIENCE, THEORY & METHODS | CONFIGURATION STRUCTURES

Computer Systems Organization and Communication Networks | Computer Hardware | Configuration system | Computer Science | Reversible asymmetric event structure | Artificial Intelligence (incl. Robotics) | Software Engineering/Programming and Operating Systems | Computing Methodologies | Reversible computation | Enabling with prevention relation | PETRI NETS | PI-CALCULUS | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | ALGEBRAIC PROCESS CALCULI | SYSTEMS | REVERSIBILITY | COMPUTER SCIENCE, THEORY & METHODS | CONFIGURATION STRUCTURES

Journal Article

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