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Showing 1 to 20 of 44 for “"Hochschild"”.
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MOTIVIC HOCHSCHILD HOMOLOGY
… ring spectrum in SH(S); we define the motivic Hochschild homology of R via the derived tensor product: MHH(R)=R ∧_{R ∧ R^{op}} R. This spectrum can be considered the motivic analogue of topological Hochschild homology. The purpose of the first part of this thesis is to investigate the homotopy …
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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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Topological Hochschild homology of twisted group algebras
… orthogonal spectra ... between the topological Hochschild homology of the group algebra A[G] and the smash product of the topological Hochschild homology of A and the cyclic bar construction of G. This thesis generalizes this result to a twisted group algebra AT[G]. As an A-module, Ar[G] = A[G], …
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Hochschild Homology and De Rham Cohomology of Stratifolds
… In this work the de Rham Cohomology and the Hochschild Homology of the algebra of smooth functions on a Stratifold will be computed and a generalization of Alain Connes result about the Hochschild Homology of smooth fuctions on a manifold will be proven.
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On Hochschild type constructions in motivic homotopy theory
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2027-08-01
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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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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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La cohomología de Hochschild de álgebras de cuerdas y su estructura de álgebra de Gerstenhaber
Este trabajo es sobre la cohomología de Hochschild de k-áalgebras de dimensión finita HH*(A) = n>0 HHn(A): Los resultados obtenidos se refieren al cálculo explícito de los grupos HHn(A) cuando A es un álgebra de cuerdas y a la descripción de la estructura de álgebra de Gerstenhaber de HH*(A) cuando …
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Thom-Sebastiani and duality for matrix factorizations, and results on the higher structures of the Hochschild invariants
… computation of higher algebraic structures on Hochschild invariants. Some applications include: we refine and establish the expected computation of 2-periodic Hochschild invariants of matrix factorizations; we show that the category of matrix factorizations is smooth, and is proper when the …
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A proof of Tsygan's formality conjecture for an arbitrary smooth manifold
… my thesis I propose Fedosov resolutions for the Hochschild cohomological and homological complexes of the algebra of functions on an arbitrary smooth manifold. Using these resolutions together with Kontsevich's formality quasi-isomorphism for Hochschild cochains of R((y1, . . . , yd)) and …
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Adams Operations and the Dennis Trace Map
… A, the algebraic K-theory of A, K*(A), and the Hochschild homology of A, HH*(A), are graded rings, and the Dennis trace map D : K *(A) → HH*( A) is a graded ring map. Since Hochschild homology is a more user friendly theory than the algebraic K-theory, one would like to use the Dennis trace …
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On Using Graphical Calculi: Centers, Zeroth Hochschild Homology and Possible Compositions of Induction and Restriction Functors in Various Diagrammatical Algebras
… and the Moebius band to determine the zeroth Hochschild Homology of Kuperberg's webs for rank two Lie algebras. We use results from Sikora and Westbury to prove the linear independence of these webs on these surfaces. In the third chapter, we use other diagrams to attempt to find explicitely …
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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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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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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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Deformation complexes of algebraic operads and their applications
… classes of Lie infinity quasi-isomorphisms for Hochschild cochains of a polynomial algebra. Due to results of V. Drinfeld and T. Willwacher, both the source and the target of this map are equipped with natural actions of the Grothendieck-Teichmueller group GRT. We use our earlier results to …
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