Семинары "Комбинаторика инвариантов Васильева": Раиса Софронова

 Neumann–Zagier matrices encode information about ideal triangulations of 3-manifolds and their gluing equations. They have some remarkable properties which allow one to construct quantum invariants of these manifolds.

Garoufalidis and Yoon wanted to study these invariants under cyclic cover and the natural way is to define twisted NZ matrices - NZ matrices of infinite cyclic cover. In this talk all required definitions will be given, main results stated and an example of 1-loop invariant of a hyperbolic knot will be computed.

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