Hochschild homology information

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

In mathematics, Topological Hochschild homology is a topological refinement of Hochschild homology which rectifies some technical issues with computations...

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

Zachary Hochschild (1854–1912), German businessman In mathematics, the Hochschild homology This page lists people with the surname Hochschild. If an internal...

k ⊗ U ( g ) − {\displaystyle k\otimes _{U({\mathfrak {g}})}-} . Hochschild homology is the left derived functor of taking coinvariants ( A , A ) -Bimod...

The Helping Hand (halfway house), a rehab in Singapore Topological Hochschild homology, in abstract algebra The Haunted House (anime), a South Korean TV...

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

topological chiral homology with coefficients in A. The construction is a generalization of Hochschild homology. Chiral homology Lurie 2014 Beilinson...

Flat cohomology Floer homology Galois cohomology Group cohomology Hochschild cohomology Intersection cohomology Khovanov homology Lie algebra cohomology...

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

be expressed using regularized determinants involving topological Hochschild homology. In addition, the analogy between knots and primes has been fruitfully...

over an associative R-algebra A then Leibniz homology of L is the tensor algebra over the Hochschild homology of A. A Zinbiel algebra is the Koszul dual...

Mathew, Akhil (2022-03-02). "Some recent advances in topological Hochschild homology". Bull. London Math. Soc. 54 (1). Prop. 3.5. arXiv:2101.00668. doi:10...

Gerhard Hochschild and Alex F. T. W. Rosenberg, he is one of the namesakes of the Hochschild–Kostant–Rosenberg theorem which describes the Hochschild homology...

gives applications to Koszul duality, Lie algebra cohomology, and Hochschild homology. More generally, carefully adapting the definitions, it is possible...

ring spectra. One can define the algebraic K-theory, topological Hochschild homology, and so on, of a highly structured ring spectrum. One can define...

proper. As in algebraic topology, there is a dual theory called group homology. The techniques of group cohomology can also be extended to the case that...

Differential graded algebra BV formalism Simplicial Lie algebra Hochschild homology Deformation quantization Lurie, Jacob. "Derived Algebraic Geometry...

coefficients in a bimodule is a cohomology theory defined in a similar way to Hochschild cohomology of an abstract algebra, except that one takes the topology...

"shape". The main tool is persistent homology, an adaptation of homology to point cloud data. Persistent homology has been applied to many types of data...

algebraic K-theory, cyclic homology, and Hochschild homology focuses on determining the relationships between K-theory and homology theories and exploiting...

Mathematical Society. Homology in group theory, Springer 1971 with Peter Hilton: On the differentials in the Lyndon-Hochschild-Serre spectral sequence...