Fillings of unit cotangent bundles
File(s)
Accepted version
Author(s)
Sivek, S
Van Horn-Morris, J
Type
Journal Article
Abstract
We study the topology of exact and Stein fillings of the canonical contact structure on the unit cotangent bundle of a closed surface Σg, where g is at least 2. In particular, we prove a uniqueness theorem asserting that any Stein filling must be s-cobordant rel boundary to the disk cotangent bundle of Σg. For exact fillings, we show that the rational homology agrees with that of the disk cotangent bundle, and that the integral homology takes on finitely many possible values, including that of DT∗Σg: for example, if g−1 is square-free, then any exact filling has the same integral homology and intersection form as DT∗Σg.
Date Issued
2016-11-16
Date Acceptance
2016-11-07
Citation
Mathematische Annalen, 2016, 368 (3-4), pp.1063-1080
ISSN
0025-5831
Start Page
1063
End Page
1080
Journal / Book Title
Mathematische Annalen
Volume
368
Issue
3-4
Copyright Statement
© Springer-Verlag Berlin Heidelberg 2016. . The final publication is available at Springer via http://dx.doi.org/10.1007/s00208-016-1500-4
Subjects
math.SG
math.GT
General Mathematics
0101 Pure Mathematics
Publication Status
Published