2026/07/23 by Mark Shoemaker
#math.AG #math-ph #math.AT #math.MP
For Y a quasi-projective complex variety and w \colon Y → \mathbb C a regular function, we construct a Chern character from the Grothendieck group of the category of matrix factorizations of w to the critical cohomology of w, and show that it factors through a certain topological K-theory group. We prove a Grothendieck-Riemann-Roch theorem with respect to this Chern character, and verify several functorial properties.