6 citations · 8 across the 3 of their papers we have counts for
3 papers
math.GT2005★ 1 cited
Geometrical spines of lens manifolds
Sergei Anisov
Geometrical spines are defined for 3-manifolds with natural metrics, in particular, for lens manifolds. We show that any spine of L(p,q) close enough to its geometrical spine (i.e.…
math.GT2002★ 1 cited
Complexity of torus bundles over the circle with monodromy (2 1, 1 1)
Sergei Anisov
We find the exact values of complexity for an infinite series of 3-manifolds. Namely, by calculating hyperbolic volumes, we show that c(N_n)=2n, where is the complexity of a 3-…
math.GT2001★ 6 cited
Towards Lower Bounds for Complexity of 3-Manifolds: a Program
Sergei Anisov
For a 3-dimensional manifold , its complexity , introduced by S.Matveev, is the minimal number of vertices of an almost simple spine of ; in many cases it is equa…