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- W2064038405 abstract "Casson defined an invariant which can be thought of as the number of conjugacy classes of irreducible representations of π 1 (Y) into SU(2) counted with signs, where Y is an oriented integral homology 3-sphere. Lin defined a similar invariant (the signature of a knot) for a braid representative of a knot in S 3 . In this paper, we give a natural generalization of Casson-Lin's invariant. Our invariant is the symplectic Floer homology for the representation space of π 1 (S 3 K) into SU(2) with trace-zero along all meridians. The symplectic Floer homology of braids is a new invariant of knots and its Euler number is the negative of Casson-Lin's invariant." @default.
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- W2064038405 date "1997-12-01" @default.
- W2064038405 modified "2023-09-27" @default.
- W2064038405 title "Casson-Lin's Invariant and Floer Homology" @default.
- W2064038405 doi "https://doi.org/10.1142/s0218216597000480" @default.
- W2064038405 hasPublicationYear "1997" @default.
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