Related papers: A relative Toponogov comparison theorem

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

Analogues of Kolmogorov comparison theorems and some of their applications were established.

We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.

We obtain some results related to Romanoff's theorem.

We explore possibilities and limitations of a purely topological approach to the Dvoretzky Theorem.

In this article we derive a simple twisted relative trace formula.

We give a counterexample to a recently conjectured variant of the Penrose inequality.

Approximations to the Kruskal-Katona theorem are stated and proven. These approximations are weaker than the theorem, but much easier to work with numerically.

The paper contains an alternative proof of M. Kontsevich Formality Theorem.

A very simple but useful almost sure convergence theorem of probability is given.

In this paper we show an index theorem for gerbes

We survey the classical results of the Dirichlet Approximation Theorem.

We formulate and study an extension of gerbe duality to relative Gromov-Witten theory.

We give several characterizations of relative homological epimorphisms in the setting of locally convex topological algebras, thereby correcting a gap in our earlier paper [Trans. Moscow Math. Soc. 2008, 27-104].

Relative orbifold Gromov-Witten theory is set-up and the degeneration formula is given.

We obtain some new inequalities of Chebyshev Type.

We survey some results on toric topology.

A proof of Sendov's conjecture is given.

We prove an analog of Gromov--Lawson type relative index theorems for K-homology classes.

We describe recent advances in the study of random analogues of combinatorial theorems.