Kuperberg invariants for balanced sutured 3-manifolds - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Can.J.Math. Année : 2021

Kuperberg invariants for balanced sutured 3-manifolds

Résumé

We construct quantum invariants of balanced sutured 3-manifolds with a ${\text {Spin}^c}$ structure out of an involutive (possibly nonunimodular) Hopf superalgebra H. If H is the Borel subalgebra of ${U_q(\mathfrak {gl}(1|1))}$ , we show that our invariant is computed via Fox calculus, and it is a normalization of Reidemeister torsion. The invariant is defined via a modification of a construction of Kuperberg, where we use the ${\text {Spin}^c}$ structure to take care of the nonunimodularity of H or $H^{*}$ .

Dates et versions

hal-02934099 , version 1 (09-09-2020)

Identifiants

Citer

Daniel López Neumann. Kuperberg invariants for balanced sutured 3-manifolds. Can.J.Math., 2021, 73 (6), pp.1698-1742. ⟨10.4153/S0008414X20000656⟩. ⟨hal-02934099⟩
33 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More