Virtual Rational Tangles
| Autor: | Blake Mellor, Sean Nevin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Algebra and Number Theory 010102 general mathematics Bracket polynomial Geometric Topology (math.GT) 01 natural sciences Mathematics::Geometric Topology Mathematics - Geometric Topology 57M27 Mathematics::Quantum Algebra 0103 physical sciences FOS: Mathematics Fraction (mathematics) 010307 mathematical physics 0101 mathematics Invariant (mathematics) Mathematics |
| Popis: | We use Kauffman's bracket polynomial to define a complex-valued invariant of virtual rational tangles that generalizes the well-known fraction invariant for classical rational tangles. We provide a recursive formula for computing the invariant, and use it to compute several examples. 11 pages; version 2 makes minor changes, and includes a proof that Kauffman's bracket polynomial is invariant under classical and virtual flypes |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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