Hochschild (Co)homology and Derived Categories
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-021-00556-0
Abstract: These are slightly expanded notes of lectures given in April 2019 at the Isfahan school and conference on representations of algebras. We recall the formalism of derived categories and functors and survey invariance results for… read more here.
Keywords: homology derived; derived categories; hochschild homology;
Central extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2017.08.017
Abstract: Abstract We describe the space of central extensions of the associative algebra Ψ n of formal pseudo-differential symbols in n ≥ 1 independent variables using Hochschild (co)homology groups: we prove that the first Hochschild (co)homology… read more here.
Keywords: central extensions; formal pseudo; pseudo differential; hochschild homology ... See more keywords
Unwinding the relative Tate diagonal
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Topology"
DOI: 10.1112/topo.12195
Abstract: We show that a spectral sequence developed by Lipshitz and Treumann, for application to Heegaard Floer theory, converges to a localized form of topological Hochschild homology with coefficients. This allows us to show that the… read more here.
Keywords: hochschild homology; spectral sequence; tate; tate diagonal ... See more keywords