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math.SG2023
Spectral invariants over the integers
Yusuke Kawamoto, Egor Shelukhin
Spectral invariants are quantitative measurements in symplectic topology coming from Floer homology theory. We study their dependence on the choice of coefficients in the context o…
math.DG2023
Remark on non-contractible closed geodesics and homotopy groups
Egor Shelukhin, Jun Zhang
We prove that if the -th homotopy group for of a closed manifold has non-trivial invariants or coinvariants under the action of the fundamental group, then there exis…
math.CV2023
Persistent transcendental Bézout theorems
Lev Buhovsky, Iosif Polterovich, Leonid Polterovich +2
An example of Cornalba and Shiffman from 1972 disproves in dimension two or higher a classical prediction that the count of zeros of holomorphic self-mappings of the complex linear…