Smith, I. and Wemyss, M. (2023) Double bubble plumbings and two-curve flops. Selecta Mathematica - New Series, 29(2), 29. (doi: 10.1007/s00029-023-00828-z)
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Abstract
We discuss the symplectic topology of the Stein manifolds obtained by plumbing two 3-dimensional spheres along a circle. These spaces are related, at a derived level and working in a characteristic determined by the specific geometry, to local threefolds which contain two floppable (−1,−1)-curves meeting at a point. Using contraction algebras we classify spherical objects on the B-side, and derive topological consequences including a complete description of the homology classes realised by graded exact Lagrangians.
Item Type: | Articles |
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Additional Information: | I.S. was partially supported by EP/N01815X/1, and M.W. was supported by EP/R009325/1 and EP/R034826/1. |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Wemyss, Professor Michael |
Authors: | Smith, I., and Wemyss, M. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Selecta Mathematica - New Series |
Publisher: | Springer |
ISSN: | 1022-1824 |
ISSN (Online): | 1420-9020 |
Published Online: | 12 March 2023 |
Copyright Holders: | Copyright © 2023 The Authors |
First Published: | First published in Selecta Mathematica - New Series 29(2): 29 |
Publisher Policy: | Reproduced under a Creative Commons License |
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