Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 58: Issue 4
Seiberg–Witten Floer Homotopy Contact Invariant
Authors:
Nobuo Iida Graduate School of Mathematical Sciences, the University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153- 8914, Japan

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and
Masaki Taniguchi 2-1 Hirosawa, Wako, Saitama 351-0198, Japan

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Pages:
505–558
Online Publication Date:
03 Dec 2021
Publication Date:
03 Dec 2021
Article Category:
Research Article
DOI:
https://doi.org/10.1556/012.2021.01511
Keywords:
contact invariant; Seiberg-Witten Floer homotopy type; symplectic filling; Bauer-Furuta invariant; KO cohomology
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We introduce a Floer homotopy version of the contact invariant introduced by Kronheimer–Mrowka–Ozsváth–Szabó. Moreover, we prove a gluing formula relating our invariant with the first author’s Bauer–Furuta type invariant, which refines Kronheimer–Mrowka’s invariant for 4-manifolds with contact boundary. As an application, we give a constraint for a certain class of symplectic fillings using equivariant KO-cohomology.

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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896

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Studia Scientiarum Mathematicarum Hungarica
Language English
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Foundation		 1966
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