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Kuperberg invariants for balanced sutured 3-manifolds
Published online by Cambridge University Press: 20 August 2020
Abstract
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
$H^{*}$
.
MSC classification
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- Copyright
- © Canadian Mathematical Society 2020
Footnotes
This project has received funding from the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie Grant Agreement No. 665850.
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