20 citations · 102 across the 71 of their papers we have counts for
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math.AG2003★ 2 cited
Mapping class groups are linear
Igor Nikolaev
It is shown, that the mapping class group of a surface of the genus g > 1 admits a faithful representation into the matrix group GL (6g-6, Z). The proof is based on a categorical c…
math.OA2003
Hyperbolic geometry, continued fractions and classification of the finitely generated totally ordered dimension groups
Igor Nikolaev
We classify the polycyclic totally ordered simple dimension groups, i.e. dimension groups given by a dense embedding of n-dimensional lattice into the real line. Our method is base…
math.GT2003
On volumes of hyperbolic 3-manifolds
Igor Nikolaev
The main thrust of present note is a volume formula for hyperbolic surface bundle with the fundamental group G. The novelty consists in a purely algebraic approach to the above pro…