Double bubble plumbings and two-curve flops

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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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
Additional Information:I.S. was partially supported by EP/N01815X/1, and M.W. was supported by EP/R009325/1 and EP/R034826/1.
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
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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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
301581The Homological Minimal Model ProgramMichael WemyssEngineering and Physical Sciences Research Council (EPSRC)EP/R009325/1M&S - Mathematics
300490Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And DeformationsMichael WemyssEngineering and Physical Sciences Research Council (EPSRC)WT5128463 EP/R034826/1M&S - Mathematics