|
The slice genus and the Thurston-Bennequin invariant of a knot
Author(s):
Lee
Rudolph
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3049-3050.
MSC (1991):
Primary 57M25;
Secondary 14H99
MathSciNet review:
1443854
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
For any knot  ,  .
References:
- 1.
- D. Bennequin, Entrelacements et équations de Pfaff, Astérisque 107-8 (1983), 87-161. MR 86e:58070
- 2.
- P. Kronheimer & T. Mrowka, Gauge theory for embedded surfaces, I, Topology (1993). MR 94k:57048
- 3.
- -, personal communication, December 11, 1995.
- 4.
- Lee Rudolph, An obstruction to sliceness via contact geometry and ``classical'' gauge theory, Invent. Math. 119 (1995), 155-163. MR 95k:57013
- 5.
- -, Quasipositivity as an obstruction to sliceness, Bull. Amer. Math. Soc. 29 (1993), 51-59. MR 94d:57028
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
57M25,
14H99
Retrieve articles in all Journals with
MSC (1991):
57M25,
14H99
Additional Information:
Lee
Rudolph
Affiliation:
Department of Mathematics and Computer Science, Clark University, Worcester, Massachusetts 01610
Email:
lrudolph@black.clarku.edu
DOI:
10.1090/S0002-9939-97-04258-5
PII:
S 0002-9939(97)04258-5
Keywords:
Slice genus,
Thom Conjecture,
Thurston-Bennequin invariant
Received by editor(s):
October 12, 1995
Additional Notes:
The author was partially supported by NSF grant DMS-9504832 and CNRS
Communicated by:
Ronald Stern
Copyright of article:
Copyright
1997,
American Mathematical Society
|
