Geometry & Topology Monographs, Vol. 4 (2002),
Invariants of knots and 3-manifolds (Kyoto 2001),
Paper no. 9, pages 119--141.

p-Modular TQFT's, Milnor torsion and the Casson-Lescop invariant

Thomas Kerler

Abstract. We derive formulae which lend themselves to TQFT interpretations of the Milnor torsion, the Lescop invariant, the Casson invariant, and the Casson-Morita cocyle of a 3-manifold, and, furthermore, relate them to the Reshetikhin-Turaev theory.

Keywords. Milnor-Turaev torsion, Alexander polynomial, Casson-Walker-Lescop invariant, Casson-Morita cocycle, TQFT, Frohman-Nicas theory, Reshetikhin-Turaev theory, p-modular representations

AMS subject classification. Primary: 57R56, 57M27. Secondary: 17B10, 17B37, 17B50, 20C20.

E-print: arXiv:math.GT/0203256

Submitted to GT on 16 December 2001. (Revised 14 April 2002.) Paper accepted 22 July 2002. Paper published 19 September 2002.

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Thomas Kerler
Department of Mathematics, The Ohio State University
231 West 18th Avenue, Columbus OH 43210, USA

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