UZH-Logo

Quaternionic monopoles


Okonek, C; Teleman, A (1995). Quaternionic monopoles. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 321(5):601-606.

Abstract

We present the simplest non-abelian version of Seiberg-Witten theory: quaternionic monopoles. On Kähler surfaces the quaternionic monopole equations decouple and lead to a projective vortex equation. This vortex equation comes from a moment map and gives rise to a new stability concept for holomorphic pairs. The moduli spaces of quaternionic monopoles on Kähler surfaces decompose into two closed subspaces, both naturally isomorphic with moduli spaces of canonically stable pairs. These components intersect along Donaldson's instanton space and can be compactified with spaces associated with (abelian) Seiberg-Witten monopoles [E. Witten, Math. Res. Lett. 1 (1994), no. 6, 769--796]

We present the simplest non-abelian version of Seiberg-Witten theory: quaternionic monopoles. On Kähler surfaces the quaternionic monopole equations decouple and lead to a projective vortex equation. This vortex equation comes from a moment map and gives rise to a new stability concept for holomorphic pairs. The moduli spaces of quaternionic monopoles on Kähler surfaces decompose into two closed subspaces, both naturally isomorphic with moduli spaces of canonically stable pairs. These components intersect along Donaldson's instanton space and can be compactified with spaces associated with (abelian) Seiberg-Witten monopoles [E. Witten, Math. Res. Lett. 1 (1994), no. 6, 769--796]

Citations

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1995
Deposited On:29 Nov 2010 16:28
Last Modified:05 Apr 2016 13:27
Publisher:Elsevier
ISSN:0151-0509
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1356561
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0842.53051

Download

Full text not available from this repository.

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations