A Note on Y-energies of Knots

2006/12/11 by Jun O’Hara, Jun O'Hara, O'Hara, Jun
Mathematics · #53A30 #57M25 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:53A30 #msc:57M25

paper · pdf · doi:10.48550/arxiv.math/0612270

11 pages, 4 fiugres

arxiv created 2006/12/11 · openalex publication_date 2006/12/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study a 1-form which can be given by a vector in a conformally invariant way. We then study conformally invariant functionals associated to a ``Y-diagram'' on the space of knots which are made from the 1-form.

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