45 citations · 175 across the 43 of their papers we have counts for
5 papers · 1 filter
Linking and causality in globally hyperbolic spacetimes
Vladimir Chernov, Yuli B. Rudyak
The linking number is defined if link components are zero homologous. Our affine linking invariant generalizes to the case of linked submanifolds with arbitrary hom…
Systolic invariants of groups and 2-complexes via Grushko decomposition
Yuli B. Rudyak, Stéphane Sabourau
We prove a finiteness result for the systolic area of groups, answering a question of M. Gromov. Namely, we show that there are only finitely many possible unfree factors of fundam…
On fundamental groups of symplectically aspherical manifolds II: abelian groups
J. Kedra, Yu. Rudyak, A. Tralle
We describe all abelian groups which can appear as the fundamental groups of closed symplectically aspherical manifolds. The proofs use the theory of symplectic Lefschetz fibration…
Minimal atlases of closed symplectic manifolds
Yuli Rudyak, Felix Schlenk
We study the number of Darboux charts needed to cover a closed connected symplectic manifold , and effectively estimate this number from below and from above in terms of the…
Systoles of 2-complexes, Reeb graph, and Grushko decomposition
Mikhail G. Katz, Yuli B. Rudyak, Stephane Sabourau
Let X be a finite 2-complex with unfree fundamental group. We prove lower bounds for the area of a metric on X, in terms of the square of the least length of a noncontractible loop…