S. Anisov

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20012005

most citedGeometrical spines of lens manifolds

1 citations · 1 across the 1 of their papers we have counts for

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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

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 $c$ is the complexity of a 3-…

math.GT2001

Towards Lower Bounds for Complexity of 3-Manifolds: a Program

Sergei Anisov

For a 3-dimensional manifold $M^{3}$ , its complexity $c (M^{3})$ , introduced by S.Matveev, is the minimal number of vertices of an almost simple spine of $M^{3}$ ; in many cases it is equa…