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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

Casson invariant of knots associated with divides


Author: A. Shumakovich
Original publication: Algebra i Analiz, tom 15 (2003), nomer 4.
Journal: St. Petersburg Math. J. 15 (2004), 625-637
MSC (2000): Primary 57M25
Published electronically: July 7, 2004
MathSciNet review: 2068986
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Abstract: A formula for the Casson invariant of knots associated with divides is presented. The formula is written in terms of Arnold's invariants of pieces of the divide. Various corollaries are discussed.


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Additional Information

A. Shumakovich
Affiliation: Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051, Basel, Switzerland
Email: Shurik@math.unibas.ch

DOI: http://dx.doi.org/10.1090/S1061-0022-04-00826-X
PII: S 1061-0022(04)00826-X
Keywords: Divide, Casson invariant, Arnold's invariants of plane curves
Received by editor(s): October 1, 2002
Published electronically: July 7, 2004
Additional Notes: Partially supported by the Swiss National Science Foundation
Article copyright: © Copyright 2004 American Mathematical Society