Cocycle invariants of codimension 2 embeddings of manifolds

• Autorzy: Józef H. Przytycki , Witold Rosicki
• Języki publikacji: EN

Abstrakty

EN

We consider the classical problem of a position of n-dimensional manifold Mⁿ in $ℝ^{n+2}$. We show that we can define the fundamental (n+1)-cycle and the shadow fundamental (n+2)-cycle for a fundamental quandle of a knotting $Mⁿ → ℝ^{n+2}$. In particular, we show that for any fixed quandle, quandle coloring, and shadow quandle coloring, of a diagram of Mⁿ embedded in $ℝ^{n+2}$ we have (n+1)- and (n+2)-(co)cycle invariants (i.e. invariant under Roseman moves).

Kategorie tematyczne

• 57Q45: Knots and links (in high dimensions)
• 57M25: Knots and links in S 3

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 103
• Numer: 1
• Strony: 251-289

Daty

wydano

2014

Twórcy

autor

Józef H. Przytycki

• Department of Mathematics, The George Washington University, Washington, DC 20052, U.S.A., University of Maryland CP
• University of Gdańsk, Poland

autor

Witold Rosicki

• Institute of Mathematics, University of Gdańsk, Poland

Identyfikatory

DOI

10.4064/bc103-0-11