Exotic involutions on symplectic 4-manifolds and G-monopole invariants

Masashi Ishida

doi:10.1007/PL00001657

Exotic involutions on symplectic 4-manifolds and G-monopole invariants

Masashi Ishida

SCI - Mathematics

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

Abstract

Using the G-monopole invariant, we shall show that any anti-holomorphic involution on a closed symplectic 4-manifold is not diffeomorphic to any holomorphic involution. As a corollary, we shall give a way to construct exotic smooth structures.

Original language	English
Pages (from-to)	1477-1486
Number of pages	10
Journal	Geometric and Functional Analysis
Volume	10
Issue number	6
DOIs	https://doi.org/10.1007/PL00001657
Publication status	Published - 2000 Jan 1

ASJC Scopus subject areas

Analysis
Geometry and Topology

Access to Document

10.1007/PL00001657

Cite this

@article{73abae589f594956b69571b2f08f4daa,

title = "Exotic involutions on symplectic 4-manifolds and G-monopole invariants",

abstract = "Using the G-monopole invariant, we shall show that any anti-holomorphic involution on a closed symplectic 4-manifold is not diffeomorphic to any holomorphic involution. As a corollary, we shall give a way to construct exotic smooth structures.",

author = "Masashi Ishida",

year = "2000",

month = jan,

day = "1",

doi = "10.1007/PL00001657",

language = "English",

volume = "10",

pages = "1477--1486",

journal = "Geometric and Functional Analysis",

issn = "1016-443X",

publisher = "Birkhauser Verlag Basel",

number = "6",

}

TY - JOUR

T1 - Exotic involutions on symplectic 4-manifolds and G-monopole invariants

AU - Ishida, Masashi

PY - 2000/1/1

Y1 - 2000/1/1

N2 - Using the G-monopole invariant, we shall show that any anti-holomorphic involution on a closed symplectic 4-manifold is not diffeomorphic to any holomorphic involution. As a corollary, we shall give a way to construct exotic smooth structures.

AB - Using the G-monopole invariant, we shall show that any anti-holomorphic involution on a closed symplectic 4-manifold is not diffeomorphic to any holomorphic involution. As a corollary, we shall give a way to construct exotic smooth structures.

UR - http://www.scopus.com/inward/record.url?scp=0034554612&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034554612&partnerID=8YFLogxK

U2 - 10.1007/PL00001657

DO - 10.1007/PL00001657

M3 - Article

AN - SCOPUS:0034554612

SN - 1016-443X

VL - 10

SP - 1477

EP - 1486

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 6

ER -

Exotic involutions on symplectic 4-manifolds and G-monopole invariants

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this