6 citations · 7 across the 4 of their papers we have counts for
4 papers
Gromov-Uhlenbeck Compactness
Max Lipyanskiy
We develop an analytic framework that combines the compactness theory of Gromov for J-holomorphic curves with that of Uhlenbeck for ASD connections. Compactness, regularity and rem…
Geometric Cycles in Floer Theory
Max Lipyanskiy
We construct a version of Hamiltonian Floer Homology based on the notion of a semi-infinite cycle. As an application, we provide a new proof for the existence of critical points of…
On Regularity of J-holomorphic Maps
Max Lipyanskiy
We provide a short proof that an and -holomorphic curve is in fact smooth. As an application, we deduce a removal of singularity theorem for curves of finite energy.
Geometric Homology
Max Lipyanskiy
The purpose of this paper is to introduce a version of singular homology based on smooth mappings of manifolds with corners. Although variants of such a theory exists in the litera…