Flat connections, the Alexander invariant, and Casson's invariant

Communications in Analysis and Geometry

Volumn 5, Issue 1, 1997, Pages 93-120

  Herald, Christopher M ^a  

^a SWARTHMORE COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001882887     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.1997.v5.n1.a2     Document Type: Article

References (19)

1. S. Akbulut and J. McCarthy, Cassons Invariant for oriented homology 3-spheres, an exposition, Mathematical Notes 36, Princeton University Press, 1990.
2. A. Floer, An instanton invariant for 3-manifolds, Comm. Math. Phys. 118 (1988), 215-240.
3. D. Freed and K. Uhlenbeck, Instantons and four-manifolds, Math. Sci. Research Inst. Series, vol. 1, Springer-Verlag, 1984.
4. W. Goldman, The symplectic nature of the fundamental groups of surfaces, Adv. Math. 54 (1984), 200-225.
5. W. Goldman, Representations of fundamental groups of surfaces, in Proceedings of Special Year in Topology, Maryland 1983-84, Lecture notes in mathematics 1167, Springer-Verlag, 1985.
6. C. Herald, Legendrian Cobordism and Chern-Simons Theory on 3-Manifolds with Boundary, Comm. Anal. and Geom. 2 (1994), No. 3, 337-413.
7. C. Herald, Existence of irreducible representations for knot complements with nonconstant equivariant signature, to appear in Math. Ann.
8. C. Herald, Spectral flow, Dehn surgery, and the Casson invariant, preprint.
9. 3(R)-representation curves for two-bridge knot groups, Math. Ann. 298 (1994), 327-348.
10. L. Hörmander, The Analysis of Linear Partial Differential Operators III, Springer-Verlag, 1985.
11. L. Jeffrey and J. Weitsman, Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde formula, Comm. Math. Phys. 150 (1992), no. 3, 593-630.
12. L. Kauffman, On Knots, Annals of Math. Studies 115, Princeton University Press, 1987.
13. M. Kuranishi, New Proof of the existence of locally complete families of complex structures, Proceedings of the Conference on Complex Analysis, A. Aepplis et al. eds., Springer-Verlag, 1965, 142-154.
14. P. Kirk, E. Klassen, and D. Ruberman, Splitting the Spectral Flow and the Alexander Matrix, Commentarii Math. Helv. 69 (1994), 375-416.
15. H.B. Lawson, The theory of gauge fields in four dimensions, Reg. Conf. Ser. Math. 58, American Mathematical Society, 1985.
16. X.-S. Lin, A knot invariant via representation spaces, J. Diff. Geom. 35 (1992), 337-357.
17. 2-Moduli Space and a Vanishing Theorem for Donaldson Polynomial Invariants, International Press, 1994.
18. C. Taubes, Casson's invariant and gauge theory, J. Diff. Geom. 31 (1990), 547-599.
19. K. Walker, An Extension of Casson's Invariant, Annals of Mathematics Studies, Study 126, Princeton University Press, 1992.