On the diffeomorphism groups of elliptic surfaces

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Authors

  • Michael Lönne
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Details

Original languageEnglish
Pages (from-to)103-117
Number of pages15
JournalMath. Ann.
Volume310
Issue number1
Publication statusPublished - Jan 1998
Externally publishedYes

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.

Cite this

On the diffeomorphism groups of elliptic surfaces. / Lönne, Michael.
In: Math. Ann., Vol. 310, No. 1, 01.1998, p. 103-117.

Research output: Contribution to journal › Article › Research › 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 ; Vol. 310, No. 1. pp. 103-117.
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