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math.AT2024
Bisections of mass assignments by parallel hyperplanes
Nikola Sadovek, Pablo Soberón
In this paper, we prove a result on the bisection of mass assignments by parallel hyperplanes on Euclidean vector bundles. Our methods consist of the development of a novel lifting…
math.AT2024
Complex line fields on almost-complex manifolds
Nikola Sadovek, Baylee Schutte
We study linearly independent complex line fields on almost-complex manifolds, which is a topic of long-standing interest in differential topology and complex geometry. A necessary…
math.AT2023
Convex Equipartitions inspired by the little cubes operad
Pavle V. M. Blagojevic, Nikola Sadovek
A decade ago two groups of authors, Karasev, Hubard and Aronov, and Blagojević and Ziegler, have shown that the regular convex partitions of a Euclidean space into parts yield…