\mathfrakgl(1 \vert 1)-Alexander polynomial for 3-manifolds, Reidemeister torsion and lens spaces

2024/11/15 by Yuanyuan Bao, Bao, Yuanyuan
Mathematics · #57K16 #57K31 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Primary 57K10

paper · pdf · doi:10.48550/arxiv.2411.09923

openalex publication_date 2024/11/15 · openalex created_date 2024/11/21 · openalex updated_date 2026/07/28

Abstract

In this note, we reformulate the invariant Δ(M, ω) that we defined before, and show its relation with Reidemeister torsion. We calculate Δ(M, ω) when the 3-manifolds are lens spaces, and discuss the classification of the lens spaces using Δ(M, ω).

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• The third term in lens surgery polynomials
• The L²-Alexander torsion of 3-manifolds
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