A topological Chern character for matrix factorizations

Mark Shoemaker

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arXiv · 2607.21788

A topological Chern character for matrix factorizations

Mark Shoemaker

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Abstract

For $Y$ a quasi-projective complex variety and $w \colon Y \to \mathbb C$ 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.

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Mark Shoemaker. 2026-07-23. A topological Chern character for matrix factorizations. https://arxiv.org/abs/2607.21788

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