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Book Review
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Book Information
Author(s):
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
References:
- [1]
- S. Akbulut and J. McCarthy, \emph{Casson\RM 's invariant for oriented homology \RM 3-spheres\,\RM : an exposition} vol.~36, Princeton Univ. Press, Princeton, NJ, 1990.
- [2]
- S. Boyer and D. Lines, Surgery formulae for Casson\RM 's invariant and extensions to homology lens spaces, J. Reine Angew. Math. \textbf{405} (1990), 181--220.
- [3]
- S. Boyer and A. Nicas, Varietes of group representations and Casson\RM 's invariant for rational homology \RM 3-spheres, Trans. Amer. Math. Soc. \textbf{322} (1990), 507--522.
- [4]
- S. Cappell, R. Lee, and E. Y. Miller, A symplectic geometry approach to generalized Casson\RM 's invariants of \RM 3-manifolds, Bull. Amer. Math. Soc. (N.S.) \textbf{22} (1990), 269--275.
- [5]
- C. L. Curtis-Budka, Casson-type invariants counting representations in low-rank groups, Doctoral thesis, Yale Univ. (1991).
- [6]
- A. Floer, An instanton-invariant for \RM 3-manifolds, Comm. Math. Phys. \textbf{118} (1988), 5--240.
- [7]
- P. Kronheimer, M. Larsen, and J. Scherk, Casson{\rm '}s invariant and quadratic reciprocity, Topology \textbf{30} (1991), 335--338.
- [8]
- , Invariant de Casson-Walker des spheres d{\rm '}homologie rationelle fibrees de Seifert, C. R. Acad. Sci. Paris S\'er. I Math. (1990), 727--730.
- [9]
- , Un algorithme pour calculer l'invariant de Walker, Bull. Soc. Math. France \textbf{118} (1990), 363--376.
- [10]
- , Sur l{\rm '}invariant de Casson-Walker\,\RM : Formule de chirurgie globale et generalisation aux varietes de dimension \RM 3 fermees orintees, C. R. Acad. Sci. Paris S\'er. I Math. (1992), 437--440.
- [11]
- , Global surgery formula for the Casson-Walker invariant, \'Ecole Normale Superieure Lyon, preprint (May 1993).
- [12]
- C. H. Taubes, Casson\RM 's invariant and gauge theory, J. Differential Geom. \textbf{31} (1990), 547--599.
- [13]
- K. Walker, An extension of Casson\RM 's invariants to rational homology spheres, Bull. Amer. Math. Soc. (N.S.) \textbf{22} (1990), 261--267.
Additional Information:
Reviewer(s):
William M.
Goldman
Review Information:
Journal:
Bull. Amer. Math. Soc.
30
(1994),
100-104.
DOI:
10.1090/S0273-0979-1994-00440-9
PII:
S 0273-0979(1994)00440-9
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