A non-Abelian K-theory and pseudo-isotopies of 3-manifolds |
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Authors: | Jeff Kiralis |
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Affiliation: | (1) Department of Mathematics, Cornell University, 14853 Ithaca, NY, USA |
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Abstract: | A non-Abelian version of algebraic K-theory, based on automorphism of free products rather than automorphisms of free modules, is considered and is related to pseudo-isotopies of 3-manifolds.Sometime after writing this paper I learned that some of the algebraic results in it were first proved by Gersten in [13]. Specifically each of Theorems 3.1, 3.2 and 5.1 in the special case when is the trivial group, and Theorem 3.3 and its corollaries are all results of Gersten. I have left the paper as it is for the sake of completeness and since the approach here often differs considerably from Gersten's. |
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Keywords: | non-Abelian K-theory pseudo-isotopies of 3-manifolds automorphisms of free groups |
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