Twisted cohomology pairings of knots III; triple cup products
| Autor: | Takefumi Nosaka |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
12A34
Pure mathematics 01 natural sciences Mathematics - Geometric Topology Knot (unit) 98B76 Cup product knot 0103 physical sciences FOS: Mathematics group homology 0101 mathematics 23C57 Mathematics quandle Algebra and Number Theory Trilinear form Link group 010102 general mathematics Geometric Topology (math.GT) Cohomology Pairing cup product 010307 mathematical physics Geometry and Topology Peripheral subgroup Analysis |
| Zdroj: | Hiroshima Math. J. 50, no. 2 (2020), 207-222 |
| Popis: | Given a representation of a link group, we introduce a trilinear form, as a topological invariant. We show that, if the link is either hyperbolic or a knot with malnormality, then the trilinear form equals the pairing of the (twisted) triple cup product and the fundamental relative 3-class. Further, we give some examples of the computation. 14 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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