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Showing 1 to 15 of 15 for “"Hochschild cohomology"”.
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Hochschild Cohomology of Short Gorenstein Rings
… 0. In this thesis, we show that the Hochschild cohomology of the family of short Gorenstein k-algebras </p><p>sGor(N) =k[X_0,...,X_N](X_iX_j, X_i^2−X_j^2 | i,j= 0,...,N, i different from j), N≥2,</p><p>exhibits exponential growth. The proof uses Gröbner-Shirshov basis theory and along …
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Hochschild Cohomology Of Short Gorenstein Rings
… 0. In this thesis, we show that the Hochschild cohomology of the family of short Gorenstein k-algebras </p><p>sGor(N) =k[X_0,...,X_N](X_iX_j, X_i^2−X_j^2 | i,j= 0,...,N, i different from j), N≥2,</p><p>exhibits exponential growth. The proof uses Gröbner-Shirshov basis theory and along …
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Operads, modules and higher Hochschild cohomology
… A particular case of this construction is higher Hochschild cohomology or Hochschild cohomology of Ed-algebras. We compute the higher Hochschild cohomology of the Lubin-Tate ring spectrum and prove a generalization of a theorem of Kontsevich and Soibelman about the action of higher Hochschild …
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On hochschild cohomology and modular representation theory
… Lie algebra structure of the first degree of Hochschild cohomology of a block algebra B as a main tool. This lead to two directions: In the first part we investigate the global approach. In particular, we prove the compatibility of the p-power map under stable equivalence of Morita type of …
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Bounded Derivations and the Hochschild Cohomology of Uniform Roe Algebras
… inner is equivalent to the first norm continuous Hochschild cohomology group vanishing. It is then natural to ask if all the higher groups vanish. While we cannot answer this question completely, we are able to give necessary and sufficient conditions for the vanishing of the norm continuous …
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Two interactions between combinatorics and representation theory : monomial immanants and Hochschild cohomology
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1997.
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Resolutions and cohomology of finite dimensional algebras
… thesis is to develop machinery for calculating Hochschild cohomology groups of certain finite dimensional algebras. So let A be a finite dimensional quotient of a path algebra. A method of modeling the enveloping algebra Ae of A on a computer is presented. Adding the extra hypothesis that A is a …
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The quantum Johnson homomorphism and symplectomorphism of 3-folds
… ... that associates a characteristic class in Hochschild cohomology to every symplectomorphism ... K2,A. These are analogues to the familiar Johnson kernel X9 and second Johnson homomorphism - 2 from low-dimensional topology. The method is quite general, and unlike many abstract tools, …
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On the (Co)Homology of Non-Commutative Toroidal Orbifold
… geometry. Connes calculated its cyclic and Hochschild cohomology. In this thesis, we study noncommutative toroidal orbifolds generated by actions of finite subgroups of <em>S L</em>(2,) on a noncommutative torus algebra.</p> <p>In the first part, we calculate the Hochschild and cyclic …
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Hochschild homology / cohomology of preprojective algebras of ADET quivers
… singularities. In this thesis, I computed the Hochschild homology/cohomology of [Pi]q over C for quivers of type ADET, together with the cup product, and more generally, the calculus structure. It turns out that the Hochschild cohomology also has a Batalin-Vilkovisky structure. I also computed …
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Derived algebraic geometry over En̳-rings
… theories, and we relate its values to E&-Hochschild cohomology. In the affine case, this establishes a claim made by Kontsevich. Other applications include a geometric description of higher Drinfeld centers of SE-categories, explored in work with Ben-Zvi and Nadler.
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Symplectic cohomology and duality for the wrapped Fukaya Category
… we show that natural geometric maps from the Hochschild homology of W to symplectic cohomology and from symplectic cohomology to the Hochschild cohomology of W are isomorphisms, in a manner compatible with ring and module structures. This is a consequence of a more general duality for the …
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Noncommutative ring spectra
… We give an explicit construction of topological Hochschild homology and cohomology of A using the Stasheff associahedra and another family of polyhedra called cyclohedra. Using this construction we can then study how THH(A) varies over the moduli space of AO structures on A, a problem which seems …
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Finite dimensional representations of sympletic reflection algebras for wreath products
… deformation theoretic and uses properties of the Hochschild cohomology of H1,k,c(...), and a Morita equivalence, established by Crawley-Boevey and Holland, between the rank one algebra H1, ... and the deformed preprojective algebra ?Q), where Q is the extended Dynkin quiver attached to ?? via the …
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A∞-algebras on directed graphs
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-19 without embargo terms