On the Map Induced on Hochschild Homology of Matrix Factorization Categories by the Inclusion of a Divisor
Year: 2026
Type: article
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.
Author: Ville Nordström
Institution: Aarhus University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W4391897627