Quantum modules of semipositive toric varieties
Abstract
Abstract A smooth projective toric variety has a geometric quotient description . Using ‐pointed quasimap invariants, one can define a quantum ‐module , which deforms a natural module structure given by the Kirwan map . The Batyrev ring of , defined from combinatorial data of the fan , has its natural module structure given by the quotient of a polynomial ring, say BatM . In this paper, we prove that and BatM are naturally isomorphic when is semipositive.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 5
- Publication date
- 1 May 2026
- Language
- EN