arXiv:math/0602022 Abstract

arXiv:math/0602022 [math.GT]Abstract References Reviews Resources

A PSL(2,C) Casson Invariant

Published 2006-02-01Version 1

We use intersection theory techniques to define an invariant of closed 3-manifolds counting the characters of irreducible representations of the fundamental group in PSL(2,C). We note several properties of the invariant and compute the invariant for certain Seifert fibered spaces and for some Dehn surgeries on twist knots. We discuss the relationship between this invariant and the SL(2,C)-invariant.

Comments: 11 pages, 1 figure

Journal: Geometry and Topology of Manifolds, Fields Institute Communications 47 (2005) 51 - 61

Categories: math.GT

Subjects: 57M27, 57M25

Keywords: casson invariant, intersection theory techniques, fundamental group, dehn surgeries, seifert fibered spaces

Tags: journal article

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