The degenerate distributive complex is degenerate
| Autor: | Józef H. Przytycki, Krzysztof K. Putyra |
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| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics Degenerate energy levels Algebraic geometry Homology (mathematics) Mathematics::Algebraic Topology Mathematics::Geometric Topology 01 natural sciences Knot theory Distributive property Mathematics::K-Theory and Homology 0103 physical sciences 010307 mathematical physics 0101 mathematics Algebraic number Mathematics::Symplectic Geometry Mathematics |
| Zdroj: | European Journal of Mathematics. 2:993-1012 |
| ISSN: | 2199-6768 2199-675X |
| DOI: | 10.1007/s40879-016-0116-2 |
| Popis: | We prove that the degenerate part of the distributive homology of a multispindle is determined by the normalized homology. In particular, when the multispindle is a quandle Q, the degenerate homology of Q is completely determined by the quandle homology of Q. For this case (and generally for two-term homology of a spindle) we provide an explicit Kunneth-type formula for the degenerate part. This solves the mystery in algebraic knot theory of the meaning of the degenerate quandle homology, brought over 15 years ago when the homology theories were defined, and the degenerate part was observed to be nontrivial. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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