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20132026
most citedPeriodic Floer homology and the smooth closing lemma for area-preserving surface diffeomorphisms

8 citations · 11 across the 14 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.SG2021

Generic equidistribution of periodic orbits for area-preserving surface maps

Rohil Prasad

We prove that a -generic area-preserving diffeomorphism of a closed, oriented surface admits a sequence of equidistributed periodic orbits. This is a quantitative refin…

math.SG2021

Invariant probability measures from pseudoholomorphic curves II: Pseudoholomorphic curve constructions

Rohil Prasad

In the previous work, we introduced a method for constructing invariant probability measures of a large class of non-singular volume-preserving flows on closed, oriented odd-dimens…

math.SG2021

Invariant probability measures from pseudoholomorphic curves I

Rohil Prasad

We introduce a method for constructing invariant probability measures of a large class of non-singular volume-preserving flows on closed, oriented odd-dimensional smooth manifolds…

math.SG2021★ 1 cited

A note on the existence of U-cyclic elements in periodic Floer homology

Dan Cristofaro-Gardiner, Daniel Pomerleano, Rohil Prasad +1

Edtmair-Hutchings have recently defined, using periodic Floer homology, a U-cycle property for Hamiltonian isotopy classes of area-preserving diffeomorphisms of closed surfaces. Th…

math.SG2021★ 8 cited

Periodic Floer homology and the smooth closing lemma for area-preserving surface diffeomorphisms

Dan Cristofaro-Gardiner, Rohil Prasad, Boyu Zhang

We prove a very general Weyl-type law for Periodic Floer Homology, estimating the action of twisted Periodic Floer Homology classes over essentially any coefficient ring in terms o…