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mathematics, Hochschild homology (and cohomology) is a homology theory for associative algebras over rings. There is also a theory for Hochschild homology...

McClure, James E.; Smith, Jeffrey H. (2002). "A solution of Deligne's Hochschild cohomology conjecture". Recent progress in homotopy theory (Baltimore, MD,...

Equivariant cohomology Étale cohomology Ext groups Flat cohomology Floer homology Galois cohomology Group cohomology Hochschild cohomology Intersection...

especially in the fields of group cohomology, homological algebra and number theory, the Lyndon spectral sequence or Hochschild–Serre spectral sequence is a...

algebra cohomology of a Banach algebra with coefficients in a bimodule is a cohomology theory defined in a similar way to Hochschild cohomology of an abstract...

field k. The Hochschild–Serre spectral sequence relates the cohomology of a normal subgroup N of G and the quotient G/N to the cohomology of the group...

older branches of mathematics, including de Rham theory, Hochschild (co)homology, group cohomology, and the K-theory. Contributors to the development of...

homology of an associative algebra Group cohomology of a module over a group ring or a representation of a group Hochschild homology of a bimodule over an associative...

late 1950s Hochschild was a professor at University of California, Berkeley. Hochschild (1945) introduced Hochschild cohomology, a cohomology theory for...

for Pierre Deligne. Deligne's conjecture on Hochschild cohomology about the operadic structure on Hochschild cochain complex. Dixmier conjecture: any endomorphism...

H^{i}({\mathfrak {g}},M)=\operatorname {Ext} _{U({\mathfrak {g}})}^{i}(k,M)} . Hochschild cohomology of some k {\displaystyle k} -algebra A {\displaystyle A} is the...

mathematician interested in topics in abstract algebra, including Hochschild cohomology[SW99] and quantum groups.[W96][BW04] She is a professor of mathematics...

Keller also gives applications to Koszul duality, Lie algebra cohomology, and Hochschild homology. More generally, carefully adapting the definitions,...

sort of an algebra over a ringed space Deligne's conjecture on Hochschild cohomology Editorial note: as it turns out, Ae is a full matrix ring in interesting...

Soibelman. The motivation was for the proof of Deligne's conjecture on Hochschild cohomology. Robert Hardt, Pascal Lambrechts, Victor Turchin, and Ismar Volić...

ring of G. For an algebra A over a field k and an A-bimodule M, Hochschild cohomology is defined by H H ∗ ( A , M ) = Ext A ⊗ k A op ∗ ⁡ ( A , M ) . {\displaystyle...

degeneration using topological Hochschild homology. Frölicher spectral sequence Hodge theory Jacobian ideal - useful for computing cohomology of Hodge decomposition...

MR 1279097. Kiranagi, B. S.; Rajendra, R. (2008), "Revisiting Hochschild cohomology for algebra bundles", Journal of Algebra and Its Applications, 7...

to formulate a Swiss-cheese version of Deligne's conjecture on Hochschild cohomology. Kontsevich's conjecture was proven partly by Po Hu, Igor Kriz,...

{\displaystyle A\to R} . The cohomological dimension of A with respect to Hochschild cohomology is at most one. Let ( Ω A , d ) {\displaystyle (\Omega A,d)} denotes...