The Symplectic Floer Homology of the Square Knot and Granny Knots

Acta Mathematica Sinica, English Series

Volumn 15, Issue 1, 1999, Pages 1-10

  Li, Weiping ^a  

^a OKLAHOMA STATE UNIVERSITY   (United States)

Author keywords

Floer Homology; Knot; Knot Cobordism; Maslov Index

Indexed keywords

EID: 0345856370     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-999-0056-6     Document Type: Article

References (10)

1. W Li. Casson-Lin's invariant and Floer homology. J Knot Theory and its Ramification, 1997, 6(6): 851-877
2. X S Lin. A knot invariant via representation spaces J Diff Geom, 1992, 35: 337-357
3. W Li. The symplectic Floer homology of composite knots. OSU preprint, 1998 (submitted)
4. A Floer. Symplectic fixed points and holomorphic spheres. Comm Math Phys, 1989, 120: 575-611
5. A Floer. Instanton Homology. "Geometry of Low-Dimensional Manifolds : 1 ; L M S Lecture Note Series 150," 1989, 115-124
6. D Rolfsen. Knots and Links. Publish or Perish, Inc, 1976, 1990
7. M F Atiyah. New invariants of 3 and 4 dimensional manifolds, in 'The mathematical Heritage of Hermann Weyl.' Proceedings Symposia Pure Math, 1988, 48: 285-299
8. A Floer. A relative Morse index for the symplectic action. Comm Pure and Applied Math, 1988, (XLI): 393-407
9. J Conway. Functions of One Complex Variable. 2nd Edition, GTM 11, Springer-Verlag 1978
10. S Cappell, R Lee, E Miller. Equivariant Casson invariant. preprint