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2021 On symplectic fillings of virtually overtwisted torus bundles
Austin Christian
Algebr. Geom. Topol. 21(1): 469-505 (2021). DOI: 10.2140/agt.2021.21.469

Abstract

We use Menke’s JSJ-type decomposition theorem for symplectic fillings to reduce the classification of strong and exact symplectic fillings of virtually overtwisted contact structures on torus bundles to the same problem for tight lens spaces. For virtually overtwisted structures on elliptic or parabolic torus bundles, this gives a complete classification. For virtually overtwisted structures on hyperbolic torus bundles, we show that every strong or exact filling arises from a filling of a tight lens space via round symplectic 1–handle attachment, and we give a condition under which distinct tight lens space fillings yield the same torus bundle filling.

Citation

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Austin Christian. "On symplectic fillings of virtually overtwisted torus bundles." Algebr. Geom. Topol. 21 (1) 469 - 505, 2021. https://doi.org/10.2140/agt.2021.21.469

Information

Received: 10 October 2019; Revised: 23 January 2020; Accepted: 19 March 2020; Published: 2021
First available in Project Euclid: 16 March 2021

Digital Object Identifier: 10.2140/agt.2021.21.469

Subjects:
Primary: 53D10
Secondary: 53D05

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.21 • No. 1 • 2021
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