14 citations · 68 across the 25 of their papers we have counts for
25 papers
Morse complexity of homology classes
Fedor Manin, Bena Tshishiku, Shmuel Weinberger
The Morse complexity of a manifold is the minimal number of handles required to build it. We explore the Morse complexity of manifolds, bordisms, and homology classes, proving nont…
Persistent homology of function spaces
Jonathan Block, Fedor Manin, Shmuel Weinberger
We can view the Lipschitz constant as a height function on the space of maps between two manifolds and ask (as Gromov did nearly 30 years ago) what its ``Morse landscape'' looks li…
On elliptic and quasiregularly elliptic manifolds
Fedor Manin, Eden Prywes
In his book "Metric structures for Riemannian and non-Riemannian spaces", Gromov defined two properties of Riemannian manifolds, ellipticity and quasiregular ellipticity, and sugge…
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…
On Freedman's link packings
Fedor Manin, Elia Portnoy
Recently, Freedman [arXiv:2301.00295] introduced the idea of packing a maximal number of links into a bounded region subject to geometric constraints, and produced upper bounds on…
Local behavior of the Eden model on graphs and tessellations of manifolds
Dongming Hua, Fedor Manin, Tahda Queer +1
The Eden Model in constructs a blob as follows: initially a single unit hypercube is infected, and each second a hypercube adjacent to the infected ones is selected…