The Witten-Reshetikhin-Turaev Invariants of Lens Spaces
K. Qazaqzeh
TL;DR
This paper provides an explicit formula for the Witten-Reshetikhin-Turaev SO(3)-invariants of lens spaces using the representation of the mapping class group in the context of TQFT.
Contribution
It introduces a new explicit formula for the invariants of lens spaces based on the mapping class group representation in WRT SO(3)-TQFT.
Findings
Derived explicit formula for invariants
Connected invariants to mapping class group representations
Enhanced understanding of lens space invariants
Abstract
We derive an explicit formula for the Witten-Reshetikhin-Turaev SO(3)-invariants of lens spaces. We use the representation of the mapping class group of the torus corresponding to the Witten-Reshetikhin-Turaev SO(3)-TQFT to give such formula.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models