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arXiv · 1606.00619

Relative Calabi-Yau structures

Christopher Brav·Tobias Dyckerhoff
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Abstract

We introduce relative noncommutative Calabi-Yau structures defined on functors of differential graded categories. Examples arise in various contexts such as topology, algebraic geometry, and representation theory. Our main result is a composition law for Calabi-Yau cospans generalizing the classical composition of cobordisms of oriented manifolds. As an application, we construct Calabi-Yau structures on topological Fukaya categories of framed punctured Riemann surfaces.

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Christopher Brav, Tobias Dyckerhoff. 2016-06-02. Relative Calabi-Yau structures. https://doi.org/10.1112/s0010437x19007024

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