20 citations · 71 across the 11 of their papers we have counts for
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math.GT2010★ 1 cited
Embedding punctured n-manifolds in Euclidean (2n-1)-space
Dmitry Tonkonog
Let be a closed orientable connected -manifold, . We classify embeddings of the punctured manifold into up to isotopy. Our result in some sense ext…
nlin.SI2010
Singularities of integrable Hamiltonian systems: a criterion for non-degeneracy, with an application to the Manakov top
Dmitry Tonkonog
Let (M,ω) be a symplectic 2n-manifold and h_1,...,h_n be functionally independent commuting functions on M. We present a geometric criterion for a singular point P\in M (i.e. such…
math.GT2010★ 8 cited
Embedding 3-manifolds with boundary into closed 3-manifolds
Dmitry Tonkonog
We prove that there is an algorithm which determines whether or not a given 2-polyhedron can be embedded into some integral homology 3-sphere. This is a corollary of the following…