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Dehn twists and Lagrangian spherical manifolds

Dehn twists and Lagrangian spherical manifolds
Dehn twists and Lagrangian spherical manifolds
We study Dehn twists along Lagrangian submanifolds that are finite free quotients of spheres. We describe the induced auto-equivalences to the derived Fukaya category and explain their relations to mirror symmetry.
Dehn twist, Lagrangian Lens spaces, Fukaya category, auto-equivalence, Floer cohomology
1022-1824
Mak, Cheuk Yu
49c234b8-842f-4cda-b082-d36505c24626
Wu, Weiwei
8e795e43-ba4d-41e6-837e-160e64aa2ea0
Mak, Cheuk Yu
49c234b8-842f-4cda-b082-d36505c24626
Wu, Weiwei
8e795e43-ba4d-41e6-837e-160e64aa2ea0

Mak, Cheuk Yu and Wu, Weiwei (2019) Dehn twists and Lagrangian spherical manifolds. Selecta Mathematica, 25 (68), [68]. (doi:10.1007/s00029-019-0515-6).

Record type: Article

Abstract

We study Dehn twists along Lagrangian submanifolds that are finite free quotients of spheres. We describe the induced auto-equivalences to the derived Fukaya category and explain their relations to mirror symmetry.

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Spherical1002 - Accepted Manuscript
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More information

Accepted/In Press date: 17 October 2019
Published date: 1 November 2019
Keywords: Dehn twist, Lagrangian Lens spaces, Fukaya category, auto-equivalence, Floer cohomology

Identifiers

Local EPrints ID: 479193
URI: http://eprints.soton.ac.uk/id/eprint/479193
ISSN: 1022-1824
PURE UUID: 6c6e51c3-2896-4dc2-8802-d6cd888cc5b2
ORCID for Cheuk Yu Mak: ORCID iD orcid.org/0000-0001-6334-7114

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Date deposited: 20 Jul 2023 16:44
Last modified: 17 Mar 2024 04:17

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Contributors

Author: Cheuk Yu Mak ORCID iD
Author: Weiwei Wu

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