Hilbert schemes of nonreduced divisors in Calabi-Yau threefolds and W-algebras
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2019
- DOI:
- 10.48550/arXiv.1907.13005
- arXiv:
- arXiv:1907.13005
- Bibcode:
- 2019arXiv190713005C
- Keywords:
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- Mathematics - Algebraic Geometry;
- High Energy Physics - Theory
- E-Print:
- 41 pages, revised version