Viterbo's transfer morphism for symplectomorphisms

Igor Uljarevic

doi:10.1142/S1793525319500079

Viterbo's transfer morphism for symplectomorphisms

Igor Uljarevic^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We construct an analogue of Viterbo's transfer morphism for Floer homology of an automorphism of a Liouville domain. As an application we prove that the Dehn-Seidel twist along any Lagrangian sphere in a Liouville domain of dimension ≥ 4 has infinite order in the symplectic mapping class group.

Original language	English
Pages (from-to)	149-180
Number of pages	32
Journal	Journal of Topology and Analysis
Volume	11
Issue number	1
DOIs	https://doi.org/10.1142/S1793525319500079
State	Published - 1 Mar 2019
Externally published	Yes

Keywords

Floer homology
symplectic geometry
symplectic mapping class group

Access to Document

10.1142/S1793525319500079

Cite this

@article{2a72d204539f4eb09ecb686469363324,

title = "Viterbo's transfer morphism for symplectomorphisms",

abstract = "We construct an analogue of Viterbo's transfer morphism for Floer homology of an automorphism of a Liouville domain. As an application we prove that the Dehn-Seidel twist along any Lagrangian sphere in a Liouville domain of dimension ≥ 4 has infinite order in the symplectic mapping class group.",

keywords = "Floer homology, symplectic geometry, symplectic mapping class group",

author = "Igor Uljarevic",

note = "Publisher Copyright: {\textcopyright} 2019 World Scientific Publishing Company.",

year = "2019",

month = mar,

day = "1",

doi = "10.1142/S1793525319500079",

language = "אנגלית",

volume = "11",

pages = "149--180",

journal = "Journal of Topology and Analysis",

issn = "1793-5253",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

TY - JOUR

T1 - Viterbo's transfer morphism for symplectomorphisms

AU - Uljarevic, Igor

PY - 2019/3/1

Y1 - 2019/3/1

N2 - We construct an analogue of Viterbo's transfer morphism for Floer homology of an automorphism of a Liouville domain. As an application we prove that the Dehn-Seidel twist along any Lagrangian sphere in a Liouville domain of dimension ≥ 4 has infinite order in the symplectic mapping class group.

AB - We construct an analogue of Viterbo's transfer morphism for Floer homology of an automorphism of a Liouville domain. As an application we prove that the Dehn-Seidel twist along any Lagrangian sphere in a Liouville domain of dimension ≥ 4 has infinite order in the symplectic mapping class group.

KW - Floer homology

KW - symplectic geometry

KW - symplectic mapping class group

UR - http://www.scopus.com/inward/record.url?scp=85030846595&partnerID=8YFLogxK

U2 - 10.1142/S1793525319500079

DO - 10.1142/S1793525319500079

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85030846595

SN - 1793-5253

VL - 11

SP - 149

EP - 180

JO - Journal of Topology and Analysis

JF - Journal of Topology and Analysis

IS - 1

ER -

Viterbo's transfer morphism for symplectomorphisms

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this