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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Splicing and the $SL_2({\mathbb C})$ Casson invariant
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by Hans U. Boden and Cynthia L. Curtis PDF
Proc. Amer. Math. Soc. 136 (2008), 2615-2623 Request permission

Abstract:

We establish a formula for the $SL_2({\mathbb C})$ Casson invariant of spliced sums of homology spheres along knots. Along the way, we show that the $SL_2({\mathbb C})$ Casson invariant vanishes for spliced sums along knots in $S^3$.
References
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Additional Information
  • Hans U. Boden
  • Affiliation: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, L8S 4K1 Canada
  • MR Author ID: 312802
  • ORCID: 0000-0001-5516-8327
  • 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
  • Received by editor(s): March 28, 2007
  • Published electronically: 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 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2615-2623
  • MSC (2000): Primary 57M27; Secondary 57M25, 57M05
  • DOI: https://doi.org/10.1090/S0002-9939-08-09233-2
  • MathSciNet review: 2390534