Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308353225> ?p ?o ?g. }
Showing items 1 to 53 of
53
with 100 items per page.
- W4308353225 abstract "Let $p geq 2$ be a prime, and $mathbb{F}_p$ be the field with $p$ elements. Extending a result of Seidel for $p=2,$ we construct an isomorphism between the Floer cohomology of an exact or Hamiltonian symplectomorphism $phi,$ with $mathbb{F}_p$ coefficients, and the $mathbb{Z}/p mathbb{Z}$-equivariant Tate Floer cohomology of its $p$-th power $phi^p.$ The construction involves a Kaledin-type quasi-Frobenius map, as well as a $mathbb{Z}/p mathbb{Z}$-equivariant pants product: an equivariant operation with $p$ inputs and $1$ output. Our method of proof involves a spectral sequence for the action filtration, and a local $mathbb{Z}/p mathbb{Z}$-equivariant coproduct providing an inverse on the $E^2$-page. This strategy has the advantage of accurately describing the effect of the isomorphism on filtration levels. We describe applications to the symplectic mapping class group, as well as develop Smith theory for the persistence module of a Hamiltonian diffeomorphism $phi$ on symplectically aspherical symplectic manifolds. We illustrate the latter by giving a new proof of the celebrated no-torsion theorem of Polterovich, and by relating the growth rate of the number of periodic points of the $p^k$-th iteration of $phi$ and its distance to the identity. Along the way, we prove a sharpening of the classical Smith inequality for actions of $mathbb{Z}/p mathbb{Z}.$" @default.
- W4308353225 created "2022-11-11" @default.
- W4308353225 creator A5058773578 @default.
- W4308353225 creator A5062139920 @default.
- W4308353225 date "2019-05-09" @default.
- W4308353225 modified "2023-09-30" @default.
- W4308353225 title "The $mathbb{Z}/p mathbb{Z}$-equivariant product-isomorphism in fixed point Floer cohomology" @default.
- W4308353225 doi "https://doi.org/10.48550/arxiv.1905.03666" @default.
- W4308353225 hasPublicationYear "2019" @default.
- W4308353225 type Work @default.
- W4308353225 citedByCount "0" @default.
- W4308353225 crossrefType "posted-content" @default.
- W4308353225 hasAuthorship W4308353225A5058773578 @default.
- W4308353225 hasAuthorship W4308353225A5062139920 @default.
- W4308353225 hasBestOaLocation W43083532251 @default.
- W4308353225 hasConcept C114614502 @default.
- W4308353225 hasConcept C126255220 @default.
- W4308353225 hasConcept C130787639 @default.
- W4308353225 hasConcept C134306372 @default.
- W4308353225 hasConcept C151527765 @default.
- W4308353225 hasConcept C168619227 @default.
- W4308353225 hasConcept C171036898 @default.
- W4308353225 hasConcept C202444582 @default.
- W4308353225 hasConcept C33923547 @default.
- W4308353225 hasConcept C61445026 @default.
- W4308353225 hasConcept C78606066 @default.
- W4308353225 hasConceptScore W4308353225C114614502 @default.
- W4308353225 hasConceptScore W4308353225C126255220 @default.
- W4308353225 hasConceptScore W4308353225C130787639 @default.
- W4308353225 hasConceptScore W4308353225C134306372 @default.
- W4308353225 hasConceptScore W4308353225C151527765 @default.
- W4308353225 hasConceptScore W4308353225C168619227 @default.
- W4308353225 hasConceptScore W4308353225C171036898 @default.
- W4308353225 hasConceptScore W4308353225C202444582 @default.
- W4308353225 hasConceptScore W4308353225C33923547 @default.
- W4308353225 hasConceptScore W4308353225C61445026 @default.
- W4308353225 hasConceptScore W4308353225C78606066 @default.
- W4308353225 hasLocation W43083532251 @default.
- W4308353225 hasOpenAccess W4308353225 @default.
- W4308353225 hasPrimaryLocation W43083532251 @default.
- W4308353225 hasRelatedWork W1811800322 @default.
- W4308353225 hasRelatedWork W1982456117 @default.
- W4308353225 hasRelatedWork W2013653492 @default.
- W4308353225 hasRelatedWork W2029512199 @default.
- W4308353225 hasRelatedWork W2071046361 @default.
- W4308353225 hasRelatedWork W2951483599 @default.
- W4308353225 hasRelatedWork W4287548197 @default.
- W4308353225 hasRelatedWork W4301304579 @default.
- W4308353225 hasRelatedWork W4301726665 @default.
- W4308353225 hasRelatedWork W4301808655 @default.
- W4308353225 isParatext "false" @default.
- W4308353225 isRetracted "false" @default.
- W4308353225 workType "article" @default.