On the diffeomorphism groups of elliptic surfaces

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Michael Lönne
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)103-117
Seitenumfang15
FachzeitschriftMath. Ann.
Jahrgang310
Ausgabenummer1
PublikationsstatusVeröffentlicht - Jan. 1998
Extern publiziertJa

Abstract

In this paper we determine for relatively minimal elliptic surfaces with positive Euler number the image of the natural representation of the group of orientation preserving self-diffeomorphisms on H̄, the second homology group reduced modulo torsion. To this end we construct as many embedded spheres of square -2 such that an isometry not induced from any combination of reflections at such spheres or from 'complex conjugation' can be shown not to be induced from some diffeomorphism at all. This is done with the help of Seiberg-Witten-invariants.

Zitieren

On the diffeomorphism groups of elliptic surfaces. / Lönne, Michael.
in: Math. Ann., Jahrgang 310, Nr. 1, 01.1998, S. 103-117.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Lönne M. On the diffeomorphism groups of elliptic surfaces. Math. Ann. 1998 Jan;310(1):103-117. doi: 10.1007/s002080050139
Lönne, Michael. / On the diffeomorphism groups of elliptic surfaces. in: Math. Ann. 1998 ; Jahrgang 310, Nr. 1. S. 103-117.
Download
@article{6817132999474b6fad89bd3fb7b0e9d8,
title = "On the diffeomorphism groups of elliptic surfaces",
abstract = "In this paper we determine for relatively minimal elliptic surfaces with positive Euler number the image of the natural representation of the group of orientation preserving self-diffeomorphisms on {\=H}, the second homology group reduced modulo torsion. To this end we construct as many embedded spheres of square -2 such that an isometry not induced from any combination of reflections at such spheres or from 'complex conjugation' can be shown not to be induced from some diffeomorphism at all. This is done with the help of Seiberg-Witten-invariants.",
author = "Michael L{\"o}nne",
year = "1998",
month = jan,
doi = "10.1007/s002080050139",
language = "English",
volume = "310",
pages = "103--117",
journal = "Math. Ann.",
issn = "0025-5831",
publisher = "Springer New York",
number = "1",

}

Download

TY - JOUR

T1 - On the diffeomorphism groups of elliptic surfaces

AU - Lönne, Michael

PY - 1998/1

Y1 - 1998/1

N2 - In this paper we determine for relatively minimal elliptic surfaces with positive Euler number the image of the natural representation of the group of orientation preserving self-diffeomorphisms on H̄, the second homology group reduced modulo torsion. To this end we construct as many embedded spheres of square -2 such that an isometry not induced from any combination of reflections at such spheres or from 'complex conjugation' can be shown not to be induced from some diffeomorphism at all. This is done with the help of Seiberg-Witten-invariants.

AB - In this paper we determine for relatively minimal elliptic surfaces with positive Euler number the image of the natural representation of the group of orientation preserving self-diffeomorphisms on H̄, the second homology group reduced modulo torsion. To this end we construct as many embedded spheres of square -2 such that an isometry not induced from any combination of reflections at such spheres or from 'complex conjugation' can be shown not to be induced from some diffeomorphism at all. This is done with the help of Seiberg-Witten-invariants.

UR - http://www.scopus.com/inward/record.url?scp=0039982269&partnerID=8YFLogxK

UR - https://arxiv.org/abs/alg-geom/9507007

U2 - 10.1007/s002080050139

DO - 10.1007/s002080050139

M3 - Article

AN - SCOPUS:0039982269

VL - 310

SP - 103

EP - 117

JO - Math. Ann.

JF - Math. Ann.

SN - 0025-5831

IS - 1

ER -