Geodesic
Kuperberg invariants for balanced sutured 3-manifolds
Canadian journal of mathematics, Tome 73 (2021) no. 6, pp. 1698-1742

Voir la notice de l'article provenant de la source Cambridge

DOI

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 $H^{*}$.
DOI : 10.4153/S0008414X20000656
Mots-clés : Kuperberg invariants, Hopf algebras, sutured manifolds, Reidemeister torsion 
Neumann, Daniel López. Kuperberg invariants for balanced sutured 3-manifolds. Canadian journal of mathematics, Tome 73 (2021) no. 6, pp. 1698-1742. doi: 10.4153/S0008414X20000656
@article{10_4153_S0008414X20000656,
     author = {Neumann, Daniel L\'opez},
     title = {Kuperberg invariants for balanced sutured 3-manifolds},
     journal = {Canadian journal of mathematics},
     pages = {1698--1742},
     year = {2021},
     volume = {73},
     number = {6},
     doi = {10.4153/S0008414X20000656},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000656/}
}
TY  - JOUR
AU  - Neumann, Daniel López
TI  - Kuperberg invariants for balanced sutured 3-manifolds
JO  - Canadian journal of mathematics
PY  - 2021
SP  - 1698
EP  - 1742
VL  - 73
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000656/
DO  - 10.4153/S0008414X20000656
ID  - 10_4153_S0008414X20000656
ER  - 
%0 Journal Article
%A Neumann, Daniel López
%T Kuperberg invariants for balanced sutured 3-manifolds
%J Canadian journal of mathematics
%D 2021
%P 1698-1742
%V 73
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000656/
%R 10.4153/S0008414X20000656
%F 10_4153_S0008414X20000656

Cité par Sources :