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Fermions and Link Invariants
Louis H. Kauffman
Hubert Saleur
出版
Kyoto University. Research Institute for Mathematical Sciences [RIMS]
, 1991
URL
http://books.google.com.hk/books?id=PK4uHAAACAAJ&hl=&source=gbs_api
註釋
Abstract: "This paper deals with various aspects of knot theory when fermionic degrees of freedom are taken into account in the braid group representations and in the state models. We discuss how the R matrix for the Alexander polynomial arises from the Fox differential calculus, and how it is related to the quantum group U[subscript q]gl(1,1). We investigate new families of solutions of the Yang Baxter equation obtained from 'linear' representations of the braid group and exterior algebra. We study state models associated with U[subscript q]sl(n, m), and in the case n = m = 1 a state model for the multivariable Alexander polynomial.