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arXiv · 1907.13005

Hilbert schemes of nonreduced divisors in Calabi-Yau threefolds and W-algebras

Wu-yen Chuang·Thomas Creutzig·D. -E. Diaconescu·Yan Soibelman
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Abstract

A W-algebra action is constructed on the equivariant Borel-Moore homology of the Hilbert scheme of points on a nonreduced plane in three dimensional affine space, identifying it to the vacuum W-module. This is based on a generalization of the ADHM construction as well as the W-action on the equivariant Borel-Moore homology of the moduli space of instantons constructed by Schiffmann and Vasserot.

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Wu-yen Chuang, Thomas Creutzig, D. -E. Diaconescu, Yan Soibelman. 2019-07-30. Hilbert schemes of nonreduced divisors in Calabi-Yau threefolds and W-algebras. https://arxiv.org/abs/1907.13005

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