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| 024 | 7 | _ | |a 10.1007/s00023-015-0427-8 |2 doi |
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| 100 | 1 | _ | |a Kashaev, Rinat |0 P:(DE-HGF)0 |b 0 |
| 245 | _ | _ | |a A TQFT of Turaev–Viro Type on Shaped Triangulations |
| 260 | _ | _ | |a Basel |c 2016 |b Birkhäuser |
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| 500 | _ | _ | |a (c) Springer Basel. Post referee full text in progress (embargo 1 year from 26 July 2015). |
| 520 | _ | _ | |a A shaped triangulation is a finite triangulation of an oriented pseudo-three-manifold where each tetrahedron carries dihedral angles of an ideal hyperbolic tetrahedron. To each shaped triangulation, we associate a quantum partition function in the form of an absolutely convergent state integral which is invariant under shaped 3–2 Pachner moves and invariant with respect to shape gauge transformations generated by total dihedral angles around internal edges through the Neumann–Zagier Poisson bracket. Similarly to Turaev–Viro theory, the state variables live on edges of the triangulation but take their values on the whole real axis. The tetrahedral weight functions are composed of three hyperbolic gamma functions in a way that they enjoy a manifest tetrahedral symmetry. We conjecture that for shaped triangulations of closed three-manifolds, our partition function is twice the absolute value squared of the partition function of Techmüller TQFT defined by Andersen and Kashaev. This is similar to the known relationship between the Turaev–Viro and the Witten–Reshetikhin–Turaev invariants of three-manifolds. We also discuss interpretations of our construction in terms of three-dimensional supersymmetric field theories related to triangulated three-dimensional manifolds. |
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| 773 | _ | _ | |a 10.1007/s00023-015-0427-8 |g Vol. 17, no. 5, p. 1109 - 1143 |0 PERI:(DE-600)2019605-2 |n 5 |p 1109 - 1143 |t Annales Henri Poincaré |v 17 |y 2016 |x 1424-0661 |
| 787 | 0 | _ | |a Kashaev, R. et.al. |d 2012 |i IsParent |0 PHPPUBDB-23162 |r DESY-12-195 ; arXiv:1210.8393 |t A TQFT of Turaev-Viro type on shaped triangulations |
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