Year: 2013
Type: article
Abstract: We study matrix factorization and curved module categories for Landau-Ginzburg models (X, W ) with X a smooth variety, extending parts of the work of Dyckerhoff.Following Positselski, we equip these categories with model category structures.Using results of Rouquier and Orlov, we identify compact generators.Via Toën's derived Morita theory, we identify Hochschild cohomology with derived endomorphisms of the diagonal curved module; we compute the latter and get the expected result.Finally, we show that our categories are smooth, proper when the singular locus of W is proper, and Calabi-Yau when the total space X is Calabi-Yau.
Source: Mathematical Research Letters
Authors: Kevin H. Lin, Daniel Pomerleano
Institution: University of California, Berkeley
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2087809061