A. Nabutovsky

activity

19922026

most citedNoncomputability Arising In Dynamical Triangulation Model Of Four-Dimensional Quantum Gravity

24 citations · 63 across the 13 of their papers we have counts for

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Showing 2015 · math.MGShow all

2 papers · 2 filters

math.MG2015★ 1 cited

Complexity of Unknotting of Trivial 2-knots

Boris Lishak, Alexander Nabutovsky

We construct families of trivial $2$ -knots $K_{i}$ in $R^{4}$ such that the maximal complexity of $2$ -knots in any isotopy connecting $K_{i}$ with the standard unknot grows fast…

math.MG2015★ 4 cited

Balanced presentations of the trivial group and four-dimensional geometry

Boris Lishak, Alexander Nabutovsky

We prove that 1) There exist infinitely many non-trivial codimension one "thick" knots in $R^{5}$ ; 2) For each closed four-dimensional smooth manifold $M$ and for each suffi…