English

Window equivalences via categorical sl(2) actions

Algebraic Geometry 2025-08-07 v2 Representation Theory

Abstract

We identify two distinct approaches to the derived equivalence for the stratified Mukai flop of cotangent bundles of Grassmannians -- one induced by the geometric categorical sl(2) action, and the other through the magic window category of graded matrix factorizations on the gauged Landau-Ginzburg model -- via the Kn\"orrer periodicity.

Keywords

Cite

@article{arxiv.2412.15169,
  title  = {Window equivalences via categorical sl(2) actions},
  author = {Wei Tseu},
  journal= {arXiv preprint arXiv:2412.15169},
  year   = {2025}
}

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R2 v1 2026-06-28T20:42:45.436Z