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Splicing and the S L 2 ( C ) SL_2({\mathbb C})...
Journal article

Splicing and the S L 2 ( C ) SL_2({\mathbb C}) Casson invariant

Abstract

We establish a formula for the SL2(C)SL_2({\mathbb C}) Casson invariant of spliced sums of homology spheres along knots. Along the way, we show that the SL2(C)SL_2({\mathbb C}) Casson invariant vanishes for spliced sums along knots in S3S^3.

Authors

Boden HU; Curtis CL

Journal

Proceedings of the American Mathematical Society, Vol. 136, No. 7, pp. 2615–2623

Publisher

American Mathematical Society (AMS)

Publication Date

March 14, 2008

DOI

10.1090/s0002-9939-08-09233-2

ISSN

0002-9939