Year: 2025
Type: preprint
Abstract: We investigate the quantum spectrum and Gamma structure for projective bundles, blow-ups, and standard flips. After restricting the quantum multiplication to the exceptional curve direction, we obtain a decomposition of the quantum cohomology of standard flips into asymptotic Gamma classes. We then show that this decomposition is compatible with the semi-orthogonal decompositions for these spaces constructed in work of Orlov and Belmans-Fu-Raedschelders. The proof involves a sequence of reductions to a local model and the asymptotic behavior of Meijer G-functions.
Source: arXiv (Cornell University)
Authors: Shen, Yefeng, Shoemaker, Mark
Institutions: University of Oregon, Colorado State University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4407570985