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On contact surgery
Author(s):
John
B.
Etnyre
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3355-3362.
MSC (2000):
Primary 57R17, 53D10
Posted:
April 30, 2008
MathSciNet review:
2407103
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Abstract:
In this note we show that +1-contact surgery on distinct Legendrian knots frequently produces contactomorphic manifolds. We also give examples where this happens for -1-contact surgery. As an amusing corollary we find overtwisted contact structures that contain a large number of distinct Legendrian knots with the same classical invariants and tight complements.
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Additional Information:
John
B.
Etnyre
Affiliation:
Department of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332-0160
Email:
etnyre@math.gatech.edu
DOI:
10.1090/S0002-9939-08-09278-2
PII:
S 0002-9939(08)09278-2
Received by editor(s):
April 11, 2007,
Received by editor(s) in revised form:
July 11, 2007
Posted:
April 30, 2008
Additional Notes:
The author thanks Yasha Eliashberg for a helpful conversation during the preparation of this paper. Supported in part by NSF CAREER Grant (DMS--0239600) and FRG-0244663.
Communicated by:
Daniel Ruberman
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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