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Splicing and the $ SL_2({\mathbb{C}})$ Casson invariant
Authors:Hans U Boden  Cynthia L Curtis
Institution:Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, L8S 4K1 Canada ; Department of Mathematics and Statistics, The College of New Jersey, Ewing, New Jersey 08628
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$.

Keywords:Casson invariant  character variety  spliced sum  
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