Calabi-Yau structures on categories of matrix factorizations

Abstract

We write out explicit proper Calabi-Yau structures, i. e. non-degenerate cyclic cocycles on the differential graded categories of matrix factorizations of regular functions with isolated critical points. The formulas involve the Kapustin-Li trace and its "higher corrections".

References in corpus (4)

• Thom-Sebastiani & Duality for Matrix Factorizations
• Mirror symmetry: from categories to curve counts
• Matrix factorisations and open topological string theory
• Riemann-Roch-Hirzebruch theorem and Topological Quantum Mechanics

Cited by in corpus (4)

• Differential models for B-type open-closed topological Landau-Ginzburg theories
• On B-type open-closed Landau-Ginzburg theories defined on Calabi-Yau Stein manifolds
• Pairings in mirror symmetry between a symplectic manifold and a Landau-Ginzburg $B$-model
• Constructing $A_{\infty }$-categories of matrix factorisations