Elliptic stable envelopes and hypertoric loop spaces

DOI10.1007/s00029-023-00876-5arXiv2010.00670MaRDI QIDQ6093269

Artan Sheshmani, Michael B. McBreen, Shing Tung Yau

Publication date: 6 October 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00670

zbMATH Keywords

symplectic resolutionelliptic cohomologyhypertoric varietysymplectic dualityelliptic stable envelope\(K\)-theoretic stable envelopesduality interface

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Deformation quantization, star products (53D55) Symplectic structures of moduli spaces (53D30) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

• Unnamed Item
• Inductive construction of stable envelopes
• 3d mirror symmetry and quantum \(K\)-theory of hypertoric varieties
• A survey of hypertoric geometry and topology
• Power operations in elliptic cohomology and representations of loop groups
• Lectures on K-theoretic computations in enumerative geometry
• Three-Dimensional Mirror Symmetry and Elliptic Stable Envelopes
• Elliptic stable envelopes
• Quantization of the modular functor and equivariant elliptic cohomology
• The geometry and topology of toric hyperkähler manifolds