A computation of the ring structure in wrapped Floer homology

Hanwool Bae; Myeonggi Kwon

doi:10.1007/s00209-021-02714-w

A computation of the ring structure in wrapped Floer homology

Hanwool Bae
, Myeonggi Kwon^*

^*Corresponding author for this work

Department of Mathematics Education

Seoul National University
Sunchon National University

Research output: Contribution to journal › Journal article › peer-review

5 Scopus citations

Abstract

We give an explicit computation of the ring structure in wrapped Floer homology of a class of real Lagrangians in A_k-type Milnor fibers. In the A_k-type plumbing description, those Lagrangians correspond to the cotangent fibers or the diagonal Lagrangians. The main ingredient of the computation is to apply a version of the Seidel representation. For a technical reason, we first carry out computations in v-shaped wrapped Floer homology, and this in turn gives the desired ring structure via the Viterbo transfer map.

Original language	English
Pages (from-to)	1155-1196
Number of pages	42
Journal	Mathematische Zeitschrift
Volume	299
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-021-02714-w
State	Published - 2021.10

Keywords

A-type Milnor fibers
Real Lagrangians
Seidel representation
Wrapped Floer homology

Access to Document

10.1007/s00209-021-02714-w

Cite this

@article{4889a17058644a9e9074329e7d755960,

title = "A computation of the ring structure in wrapped Floer homology",

abstract = "We give an explicit computation of the ring structure in wrapped Floer homology of a class of real Lagrangians in Ak-type Milnor fibers. In the Ak-type plumbing description, those Lagrangians correspond to the cotangent fibers or the diagonal Lagrangians. The main ingredient of the computation is to apply a version of the Seidel representation. For a technical reason, we first carry out computations in v-shaped wrapped Floer homology, and this in turn gives the desired ring structure via the Viterbo transfer map.",

keywords = "A-type Milnor fibers, Real Lagrangians, Seidel representation, Wrapped Floer homology",

author = "Hanwool Bae and Myeonggi Kwon",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature.",

year = "2021",

month = oct,

doi = "10.1007/s00209-021-02714-w",

language = "English",

volume = "299",

pages = "1155--1196",

journal = "Mathematische Zeitschrift",

issn = "0025-5874",

number = "1-2",

}

TY - JOUR

T1 - A computation of the ring structure in wrapped Floer homology

AU - Bae, Hanwool

AU - Kwon, Myeonggi

PY - 2021/10

Y1 - 2021/10

N2 - We give an explicit computation of the ring structure in wrapped Floer homology of a class of real Lagrangians in Ak-type Milnor fibers. In the Ak-type plumbing description, those Lagrangians correspond to the cotangent fibers or the diagonal Lagrangians. The main ingredient of the computation is to apply a version of the Seidel representation. For a technical reason, we first carry out computations in v-shaped wrapped Floer homology, and this in turn gives the desired ring structure via the Viterbo transfer map.

AB - We give an explicit computation of the ring structure in wrapped Floer homology of a class of real Lagrangians in Ak-type Milnor fibers. In the Ak-type plumbing description, those Lagrangians correspond to the cotangent fibers or the diagonal Lagrangians. The main ingredient of the computation is to apply a version of the Seidel representation. For a technical reason, we first carry out computations in v-shaped wrapped Floer homology, and this in turn gives the desired ring structure via the Viterbo transfer map.

KW - A-type Milnor fibers

KW - Real Lagrangians

KW - Seidel representation

KW - Wrapped Floer homology

UR - https://www.scopus.com/pages/publications/85102291644

U2 - 10.1007/s00209-021-02714-w

DO - 10.1007/s00209-021-02714-w

M3 - Journal article

AN - SCOPUS:85102291644

SN - 0025-5874

VL - 299

SP - 1155

EP - 1196

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 1-2

ER -

A computation of the ring structure in wrapped Floer homology

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this