2 citations · 3 across the 6 of their papers we have counts for
6 papers
Homotopy rigidity of nearby Lagrangian cocores
Johan Asplund, Yash Deshmukh, Alex Pieloch
An exact Lagrangian submanifold in a Weinstein sector is called a nearby Lagrangian cocore if it avoids all Lagrangian cocores and is equal to a shifted Lagrangi…
Spectral equivalence of nearby Lagrangians
Johan Asplund, Yash Deshmukh, Alex Pieloch
Let be a commutative ring spectrum. We construct the wrapped Donaldson--Fukaya category with coefficients in of any stably polarized Liouville sector. We show that any two…
Fundamental groups of rationally connected symplectic manifolds
Alex Pieloch
We show that the fundamental group of every enumeratively rationally connected closed symplectic manifold is finite. In other words, if a closed symplectic manifold has a non-zero…
Sections and unirulings of families over
Alex Pieloch
We consider morphisms of smooth projective varieties over . We show that if has at most one singular fibre, then is uniruled and adm…
On the topology of moduli spaces of real algebraic curves
Alex Pieloch
We show that mapping class groups associated to all types of real algebraic curves are virtual duality groups. We also deduce some results about the orbifold homotopy groups of the…
Persistent homology analysis of brain artery trees
Paul Bendich, J. S. Marron, Ezra Miller +2
New representations of tree-structured data objects, using ideas from topological data analysis, enable improved statistical analyses of a population of brain artery trees. A numbe…