A Construction of Knot Floer Homotopy

نویسنده

  • SUCHARIT SARKAR
چکیده

Given a knot presented in a grid diagram, we construct a CW complex which has one cell for each generator of the grid chain complex, and whose homology is the grid homology. This space is welldefined, and its stable homotopy type is a knot invariant. Thus to each knot, we can associate an invariant spectrum, whose F2 homology is the knot Floer homology over F2. 1991 Mathematics Subject Classification. 57M27.

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تاریخ انتشار 2009