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2004, Operator algebras and non-commutative geometry, ISBN 9783540404699, Volume 121., x, 137
Book
Journal of Allergy and Clinical Immunology, The, ISSN 0091-6749, 2007, Volume 120, Issue 1, pp. 76 - 83
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 02/2014, Volume 50, Issue 2, pp. 577 - 580
Journal Article
Advances in Mathematics, ISSN 0001-8708, 01/2016, Volume 288, pp. 240 - 307
We give a general method for constructing explicit and natural operations on the Hochschild complex of algebras over any prop with -multiplication—we think of... 
Moduli space of Riemann surfaces | Frobenius algebras | Hochschild homology | Operations | STABILITY | DECOMPOSITION | STRING TOPOLOGY | MAPPING CLASS-GROUPS | MATHEMATICS | CACTI | CYCLIC HOMOLOGY | VERSION | DELIGNES CONJECTURE | CO-CHAINS | MODULI SPACE ACTIONS | Algebra
Journal Article
Journal of Knot Theory and Its Ramifications, ISSN 0218-2165, 10/2018, Volume 27, Issue 11, p. 1843011
In this paper, we introduce the (co)homology group of a multiple conjugation biquandle. It is the (co)homology group of the prismatic chain complex, which is... 
multiple conjugation biquandles | (co)homology groups | cocycle invariants | handlebody-links | parallel biquandle operations | Biquandles | MATHEMATICS | YANG-BAXTER EQUATION | QUANDLE | INVARIANTS | KNOTTED HANDLEBODIES | HOMOLOGY
Journal Article
Journal of Pure and Applied Algebra, ISSN 0022-4049, 2007, Volume 208, Issue 2, pp. 699 - 725
We define a family of posets of partitions associated to an operad. We prove that the operad is Koszul if and only if the posets are Cohen–Macaulay. On the one... 
OPERADS | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | COMPLEXES
Journal Article
PLoS Genetics, ISSN 1553-7390, 07/2018, Volume 14, Issue 7, p. e1007487
Journal Article
Communications in Algebra, ISSN 0092-7872, 09/2017, Volume 45, Issue 9, pp. 3893 - 3916
We prove the versions of amplitude inequalities of Iversen, Foxby and Iyengar, and Frankild and Sather-Wagstaff that replace finite generation conditions with... 
flat dimension | Adic finiteness | 13D09 | 13D07 | co-support | 13C12 | projective dimension | Frobenius endomorphism | injective dimension | amplitude inequality | support | 13D05 | COFINITE COMPLEXES | AMPLITUDE | CATEGORIES | MATHEMATICS | DIMENSIONS | MODULES | UNBOUNDED COMPLEXES | LOCAL COHOMOLOGY | Mathematical analysis | Homology | Inequalities | Algebra | Amplitudes | Rings (mathematics)
Journal Article
Integrative and Comparative Biology, ISSN 1540-7063, 09/2017, Volume 57, Issue 3, pp. 477 - 487
Journal Article
JOURNAL OF NONCOMMUTATIVE GEOMETRY, ISSN 1661-6952, 2019, Volume 13, Issue 1, pp. 59 - 85
In this article we prove that the Tamarkin-Tsygan calculus of an Adams connected augmented dg algebra and of its Koszul dual are dual to each other. This uses... 
MATHEMATICS | Yoneda algebras | MATHEMATICS, APPLIED | Homological algebra | Koszul algebras | COHOMOLOGY | CYCLIC HOMOLOGY | dg algebras | PHYSICS, MATHEMATICAL | Hochschild (co)homology
Journal Article
Journal of Algebra, ISSN 0021-8693, 11/2015, Volume 442, pp. 484 - 505
A version of the twisted Poincaré duality is proved between the Poisson homology and cohomology of a polynomial Poisson algebra with values in an arbitrary... 
Poisson algebras | Poincaré duality | Modular class | Poisson (co)homology | MATHEMATICS | ALGEBRAS | COMPLEX | Poincare duality | Algebra
Journal Article
Journal of Noncommutative Geometry, ISSN 1661-6952, 2017, Volume 11, Issue 2, pp. 703 - 740
We use factorization homology over manifolds with boundaries in order to construct operations on Hochschild cohomology and Hochschild homology. These... 
Little disk operad | Factorization homology | Swiss-cheese operad | Hochschild (co)homology | Non-commutative calculus | non-commutative calculus | RECTIFICATION | MATHEMATICS | Hochschild (co) homology | MATHEMATICS, APPLIED | ALGEBRAS | little disk operad | PHYSICS, MATHEMATICAL
Journal Article
Journal of Homotopy and Related Structures, ISSN 2193-8407, 9/2019, Volume 14, Issue 3, pp. 625 - 646
We introduce and study a homology theory of crossed modules with coefficients in an abelian crossed module. We discuss the basic properties of these new... 
Crossed module | 20J06 | Algebraic Topology | Comonadic homology | Hopf formula | Mathematics | Spectral sequence | 18C15 | 18G40 | 18G10 | Algebra | Functional Analysis | 55N35 | Number Theory | MATHEMATICS | HOPF FORMULAS | (CO)HOMOLOGY
Journal Article
Journal of Pure and Applied Algebra, ISSN 0022-4049, 02/2016, Volume 220, Issue 2, pp. 495 - 517
We show that, for a right exact functor from an abelian category to abelian groups, Yoneda's isomorphism commutes with homology and, hence, with functor... 
CO-HOMOLOGY | MATHEMATICS | MATHEMATICS, APPLIED | CENTRAL EXTENSIONS | GALOIS THEORY | HOPF FORMULAS | SEMI-ABELIAN CATEGORIES | Mathematics - K-Theory and Homology
Journal Article
2017, Mathematical surveys and monographs, ISBN 1470435691, Volume 221, 2 volumes
Book
Journal of Symbolic Computation, ISSN 0747-7171, 11/2012, Volume 47, Issue 11, pp. 1309 - 1317
We describe an algorithm for computing the integral homology of a simplicial group and illustrate an implementation on simplicial groups arising as the nerve... 
Homology | Crossed modules | Simplicial groups | [formula omitted]-types | N-types | MATHEMATICS, APPLIED | RESOLUTIONS | n-types | COMPUTER SCIENCE, THEORY & METHODS | (CO)HOMOLOGY | Algorithms
Journal Article
Geometry and Topology, ISSN 1465-3060, 01/2016, Volume 19, Issue 6, pp. 3149 - 3191
We relate the completed cohomology groups of SLN(O-F), where O-F is the ring of integers of a number field, to K-theory and Galois cohomology. Various... 
CO-HOMOLOGY | MATHEMATICS | COHOMOLOGY | REPRESENTATIONS | P-GROUPS | STABILITY | COEFFICIENTS | K-THEORY | NUMBER-FIELDS | FI-MODULES | CONJECTURE
Journal Article
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