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Conference Paper: Contraction algebra and invariants of singularities

TitleContraction algebra and invariants of singularities
Other TitlesContraction algebra and invariants associated to three dimensional flopping contraction
Authors
Hua, Z
Issue Date2016
Citation
Geometry, Symmetry and Physics Seminar, Spring 2016, Rutgers University, Piscataway, NJ, USA, 21 April 2016 How to Cite?
AbstractThe contraction algebra is defined by Donovan and Wemyss in the study of noncommutative deformation theory. In this talk, we will explain how to use contraction algebra to study the three dimensional flopping contraction. We will show that the derived category of singularities and the subcategory of complexes support on the exceptional curve can be reconstructed from the contraction algebra. These reconstruction theorems suggest that the contraction algebra can be viewed as a noncommutative analogue of the Milnor ring of hyper surface singularity. We will also explain how to recover the genus 0 Gopakumar-Vafa invariants from the contraction algebra. This talk is based on a joint work with Yukinobu Toda: arrive: 1601.04881.
Persistent Identifierhttp://hdl.handle.net/10722/252399

 

DC FieldValueLanguage
dc.contributor.authorHua, Z-
dc.date.accessioned2018-04-19T09:22:12Z-
dc.date.available2018-04-19T09:22:12Z-
dc.date.issued2016-
dc.identifier.citationGeometry, Symmetry and Physics Seminar, Spring 2016, Rutgers University, Piscataway, NJ, USA, 21 April 2016-
dc.identifier.urihttp://hdl.handle.net/10722/252399-
dc.description.abstractThe contraction algebra is defined by Donovan and Wemyss in the study of noncommutative deformation theory. In this talk, we will explain how to use contraction algebra to study the three dimensional flopping contraction. We will show that the derived category of singularities and the subcategory of complexes support on the exceptional curve can be reconstructed from the contraction algebra. These reconstruction theorems suggest that the contraction algebra can be viewed as a noncommutative analogue of the Milnor ring of hyper surface singularity. We will also explain how to recover the genus 0 Gopakumar-Vafa invariants from the contraction algebra. This talk is based on a joint work with Yukinobu Toda: arrive: 1601.04881.-
dc.languageeng-
dc.relation.ispartofRutgers University, Geometry, Symmetry and Physics Seminar, Spring 2016-
dc.titleContraction algebra and invariants of singularities-
dc.title.alternativeContraction algebra and invariants associated to three dimensional flopping contraction-
dc.typeConference_Paper-
dc.identifier.emailHua, Z: huazheng@hku.hk-
dc.identifier.authorityHua, Z=rp01790-
dc.identifier.hkuros269960-

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