Browsing Mathematics Theses and Dissertations by Subject "spaces of knots"

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Geometry and Combinatorics Pertaining to the Homology of Spaces of Knots

Pelatt, Kristine (University of Oregon, 2012)

We produce explicit geometric representatives of non-trivial homology classes in Emb(S1,Rd), the space of knots, when d is even. We generalize results of Cattaneo, Cotta-Ramusino and Longoni to define cycles which live ...