Window equivalences via categorical sl(2) actions

Fuente: arXiv
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Main Author: Tseu, Wei
Format: Preprint
Published: 2024
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_version_ 1866908479574245376
author Tseu, Wei
author_facet Tseu, Wei
contents 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 Knörrer periodicity.
format Preprint
id arxiv_https___arxiv_org_abs_2412_15169
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Window equivalences via categorical sl(2) actions
Tseu, Wei
Algebraic Geometry
Representation Theory
14F08, 14M15, 18G80
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 Knörrer periodicity.
title Window equivalences via categorical sl(2) actions
topic Algebraic Geometry
Representation Theory
14F08, 14M15, 18G80
url https://arxiv.org/abs/2412.15169