91 citations · 276 across the 48 of their papers we have counts for
23 papers · 1 filter
Quantitative PL bordism
Fedor Manin, Shmuel Weinberger
We study PL bordism theories from a quantitative perspective. Such theories include those of PL manifolds, ordinary homology theory, as well as various more exotic theories such as…
Growth of k-dimensional systoles in congruence coverings
Mikhail Belolipetsky, Shmuel Weinberger
We study growth of absolute and homological -dimensional systoles of arithmetic -manifolds along congruence coverings. Our main interest is in the growth of systoles of manif…
Bounds on Cheeger-Gromov invariants and simplicial complexity of triangulated manifolds
Geunho Lim, Shmuel Weinberger
We show the existence of linear bounds on Wall -invariants of PL manifolds, employing a new combinatorial concept of -colored polyhedra. As application, we show that how the…
Algorithmic aspects of immersibility and embeddability
Fedor Manin, Shmuel Weinberger
We analyze an algorithmic question about immersion theory: for which , , and or is the question of whether an -dimensional -manifold…
The Gromov--Guth--Whitney embedding theorem
Fedor Manin, Shmuel Weinberger
This is an appendix to arXiv:1610.04888, "Quantitative null-cobordism", which improves one of the main results of that paper to a near-sharp one. It is not a self-contained paper.
On the stable Cannon Conjecture
Steve Ferry, Wolfgang Lueck, Shmuel Weinberger
The Cannon Conjecture for a torsionfree hyperbolic group G with boundary homeomorphic to S^2 says that G is the fundamental group of an aspherical closed 3-manifold M. It is known…