ON THE MAP INDUCED ON HOCHSCHILD HOMOLOGY OF MATRIX FACTORIZATION CATEGORIES BY THE INCLUSION OF A DIVISOR
Abstract
Abstract Given a smooth variety X over C $\mathbb {C}$ double struck upper C , a smooth divisor i : Y ↪ X $i:Y\hookrightarrow X$ i colon upper Y right arrow with hook upper X and a global function f on X which vanishes on Y and on its critical locus, we compute the map induced on Hochschild homology by the pushforward functor i ∗ : D b ( Y ) → D a b s ( M F ( X , f ) ) $i_{\ast }:D^b(Y)\to D^{abs}(MF(X,f))$ i Subscript asterisk Baseline colon upper D Superscript b Baseline left parenthesis upper Y right parenthesis right arrow upper D Superscript a b s Baseline left parenthesis upper M upper F left parenthesis upper X comma f right parenthesis right parenthesis in terms of the Hochschild-Kostant-Rosenberg isomorphisms.
Fields of Study & Subjects
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of the Institute of Mathematics of Jussieu
- Publisher
- Cambridge University Press (CUP)
- Volume
- 25
- Issue
- 5
- Pages
- 2589–2622
- Publication date
- 19 June 2026
- Language
- EN