16 citations · 31 across the 10 of their papers we have counts for
12 papers
On the complexity of non-orientable Seifert fibre spaces
Alessia Cattabriga, Sergei Matveev, Michele Mulazzani +1
In this paper we deal with Seifert fibre spaces, which are compact 3-manifolds admitting a foliation by circles. We give a combinatorial description for these manifolds in all the…
Dijkgraaf-Witten -invariants for Seifert manifolds
Simon King, Sergei Matveev, Vladimir Tarkaev +1
In this short paper we compute the values of Dijkgraaf-Witten invariants over for all orientable Seifert manifolds with orientable bases.
Classification of knots in T x I with at most 4 crossings
A. A. Akimova, S. V. Matveev
We compose the table of knots in the thickened torus T x I having diagrams with at most 4 crossings. The knots are constructed by the three-step process. First we list regular grap…
A semigroup of theta-curves in 3-manifolds
Sergei Matveev, Vladimir Turaev
We establish an existence and uniqueness theorem for prime decompositions of theta-curves in -manifolds.
Roots in 3-manifold topology
Cynthia Hog-Angeloni, Sergei Matveev
Let C be some class of objects equipped with a set of simplifying moves. When we apply these to a given object M in C as long as possible, we get a root of M. Our main result is th…
A simple formula for the Casson-Walker invariant
Sergei Matveev, Michael Polyak
Gauss diagram formulas are extensively used to study Vassiliev link invariants. Now we apply this approach to invariants of 3-manifolds, considering manifolds given by surgery on f…