Hilbert schemes of nonreduced divisors in Calabi–Yau threefolds and W-algebras
Chuang WY, Creutzig T, Diaconescu DE, Soibelman Y (2021)
Publication Type: Journal article
Publication year: 2021
Journal
Book Volume: 7
Pages Range: 807-868
Journal Issue: 3
DOI: 10.1007/s40879-021-00464-x
Abstract
A W-algebra action is constructed via Hecke transformations on the equivariant Borel–Moore homology of the Hilbert scheme of points on a nonreduced plane in three-dimensional affine space. The resulting W-module is then identified to the vacuum module. The construction 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.
Involved external institutions
Rutgers, The State University of New Jersey
United States (USA) (US)
Kansas State University
United States (USA) (US)
National Taiwan University (NTU)
Taiwan (TW)
University of Alberta
Canada (CA)
United States (USA) (US)
Kansas State University
United States (USA) (US)
National Taiwan University (NTU)
Taiwan (TW)
University of Alberta
Canada (CA)
How to cite
APA:
Chuang, W.Y., Creutzig, T., Diaconescu, D.E., & Soibelman, Y. (2021). Hilbert schemes of nonreduced divisors in Calabi–Yau threefolds and W-algebras. European Journal of Mathematics, 7(3), 807-868. https://doi.org/10.1007/s40879-021-00464-x
MLA:
Chuang, Wu Yen, et al. "Hilbert schemes of nonreduced divisors in Calabi–Yau threefolds and W-algebras." European Journal of Mathematics 7.3 (2021): 807-868.
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