Kuperberg invariants for balanced sutured 3-manifolds
Copyright policy )Kuperberg invariants for balanced sutured 3-manifolds
AbstractWe 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 $H^{*}$ .
- Sorbonne Paris Cité France
- French National Centre for Scientific Research France
- University of Paris France
- UNIVERSITE PARIS DESCARTES France
- Sorbonne University France
Hopf algebras and their applications, Invariants of 3-manifolds (including skein modules, character varieties), Geometric Topology (math.GT), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], sutured manifolds, Reidemeister torsion, 16T05, Mathematics - Geometric Topology, 57M27, 16T05, 57M27, Finite-type and quantum invariants, topological quantum field theories (TQFT), Hopf algebras, Kuperberg invariants, Mathematics - Quantum Algebra, FOS: Mathematics, Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc., Quantum Algebra (math.QA)
Hopf algebras and their applications, Invariants of 3-manifolds (including skein modules, character varieties), Geometric Topology (math.GT), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], sutured manifolds, Reidemeister torsion, 16T05, Mathematics - Geometric Topology, 57M27, 16T05, 57M27, Finite-type and quantum invariants, topological quantum field theories (TQFT), Hopf algebras, Kuperberg invariants, Mathematics - Quantum Algebra, FOS: Mathematics, Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc., Quantum Algebra (math.QA)
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