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Showing 1 to 14 of 14 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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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