Book Review
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Book Information:
Author: Kevin Walker
Title: An extension of Casson's invariant
Additional book information: Princeton University Press, Princeton, NJ, 1992, v+131 pp., US$16.50. ISBN 0-691-02532-0.
- [1] Selman Akbulut and John D. McCarthy, Casson’s invariant for oriented homology 3-spheres, Mathematical Notes, vol. 36, Princeton University Press, Princeton, NJ, 1990. An exposition. MR 1030042
- [2] Steven Boyer and Daniel Lines, Surgery formulae for Casson’s invariant and extensions to homology lens spaces, J. Reine Angew. Math. 405 (1990), 181–220. MR 1041002
- [3] S. Boyer and A. Nicas, Varieties of group representations and Casson’s invariant for rational homology 3-spheres, Trans. Amer. Math. Soc. 322 (1990), no. 2, 507–522. MR 972701, https://doi.org/10.1090/S0002-9947-1990-0972701-6
- [4] Sylvain E. Cappell, Ronnie Lee, and Edward Y. Miller, A symplectic geometry approach to generalized Casson’s invariants of 3-manifolds, Bull. Amer. Math. Soc. (N.S.) 22 (1990), no. 2, 269–275. MR 1016041, https://doi.org/10.1090/S0273-0979-1990-15885-9
- [5] C. L. Curtis-Budka, Casson-type invariants counting representations in low-rank groups, Doctoral thesis, Yale Univ. (1991).
- [6] Andreas Floer, An instanton-invariant for 3-manifolds, Comm. Math. Phys. 118 (1988), no. 2, 215–240. MR 956166
- [7] P. B. Kronheimer, M. J. Larsen, and J. Scherk, Casson’s invariant and quadratic reciprocity, Topology 30 (1991), no. 3, 335–338. MR 1113682, https://doi.org/10.1016/0040-9383(91)90018-Y
- [8] Invariant de Casson-Walker des spheres d'homologie rationelle fibrees de Seifert, C. R. Acad. Sci. Paris Sér. I Math. (1990), 727-730.
- [9] Christine Lescop, Un algorithme pour calculer l’invariant de Walker, Bull. Soc. Math. France 118 (1990), no. 3, 363–376 (French, with English summary). MR 1078081
- [10] Sur l'invariant de Casson-Walker: Formule de chirurgie globale et generalisation aux varietes de dimension 3 fermees orintees, C. R. Acad. Sci. Paris Sér. I Math. (1992), 437-440.
- [11] Global surgery formula for the Casson-Walker invariant, École Normale Superieure Lyon, preprint (May 1993).
- [12] Clifford Henry Taubes, Casson’s invariant and gauge theory, J. Differential Geom. 31 (1990), no. 2, 547–599. MR 1037415
- [13] Kevin Walker, An extension of Casson’s invariant to rational homology spheres, Bull. Amer. Math. Soc. (N.S.) 22 (1990), no. 2, 261–267. MR 1016040, https://doi.org/10.1090/S0273-0979-1990-15883-5
Review Information:
Reviewer: William M. Goldman
Journal: Bull. Amer. Math. Soc. 30 (1994), 100-104
DOI: https://doi.org/10.1090/S0273-0979-1994-00440-9
