Geodesic
On the positivity of twisted L2–torsion for 3–manifolds
Duan, Jianru1
1 Beijing International Center for Mathematical Research, Peking University, Beijing, China
Algebraic and Geometric Topology, Tome 24 (2024) no. 4, pp. 2307-2329

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

For any compact orientable irreducible 3–manifold N with empty or incompressible toral boundary, the twisted L2–torsion is a nonnegative function defined on the representation variety Hom ⁡ (π1(N),SL ⁡ (n, ℂ)). We show that if N has infinite fundamental group, then the L2–torsion function is strictly positive. Moreover, this torsion function is continuous when restricted to the subvariety of upper triangular representations.

DOI : 10.2140/agt.2024.24.2307
Keywords: $3$–manifolds, twisted $L^2$–torsion

Duan, Jianru 1

1 Beijing International Center for Mathematical Research, Peking University, Beijing, China 
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Duan, Jianru. On the positivity of twisted L2–torsion for 3–manifolds. Algebraic and Geometric Topology, Tome 24 (2024) no. 4, pp. 2307-2329. doi: 10.2140/agt.2024.24.2307

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