Chern character for matrix factorizations via Chern-Weil

Xuan Yu

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arXiv · 1310.7337

Chern character for matrix factorizations via Chern-Weil

Xuan Yu

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Abstract

Given a matrix factorization, we use the Atiyah class to give an algebraic Chern-Weil type construction to its Chern character; this allows us to realize the Chern character in an explicit way. It also generalizes the existing result to any smooth $k$-algebra $Q$ ($k$ a commutative ring containing $\mathbb{Q}$) and any $f\in Q$, which agrees with a recent result of Platt. We also study some basic properties of the Chern character.

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Xuan Yu. 2013-10-28. Chern character for matrix factorizations via Chern-Weil. https://arxiv.org/abs/1310.7337

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