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Splicing and the  Casson invariant
Author(s):
Hans
U.
Boden;
Cynthia
L.
Curtis
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2615-2623.
MSC (2000):
Primary 57M27;
Secondary 57M25, 57M05
Posted:
March 14, 2008
MathSciNet review:
2390534
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Additional information
Abstract:
We establish a formula for the  Casson invariant of spliced sums of homology spheres along knots. Along the way, we show that the  Casson invariant vanishes for spliced sums along knots in  .
References:
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Additional Information:
Hans
U.
Boden
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, L8S 4K1 Canada
Email:
boden@mcmaster.ca
Cynthia
L.
Curtis
Affiliation:
Department of Mathematics and Statistics, The College of New Jersey, Ewing, New Jersey 08628
Email:
ccurtis@tcnj.edu
DOI:
10.1090/S0002-9939-08-09233-2
PII:
S 0002-9939(08)09233-2
Keywords:
Casson invariant,
character variety,
spliced sum.
Received by editor(s):
March 28, 2007
Posted:
March 14, 2008
Additional Notes:
The first named author was supported by a grant from the Natural Sciences and Engineering Research Council of Canada.
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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