Gauge theory, calibrated geometry and harmonic spinors

Haydys A (2012)
Journal of the London Mathematical Society 86(2): 482-498.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
In this paper, connections between different gauge-theoretical problems in high and low dimensions are established. In particular, it is shown that higher dimensional anti-self-duality equations on the total spaces of spinor bundles over low-dimensional manifolds can be interpreted as the Taubes-Pidstrygach generalization of the Seiberg-Witten equations. By collapsing each fibre of the spinor bundle to a point, solutions of the Taubes-Pidstrygach equations are related to generalized harmonic spinors. This approach is also generalized to arbitrary fibrations (without singular fibres) compatible with an appropriate calibration.
Erscheinungsjahr
2012
Zeitschriftentitel
Journal of the London Mathematical Society
Band
86
Ausgabe
2
Seite(n)
482-498
ISSN
0024-6107
Page URI
https://pub.uni-bielefeld.de/record/2548583

Zitieren

Haydys A. Gauge theory, calibrated geometry and harmonic spinors. Journal of the London Mathematical Society. 2012;86(2):482-498.
Haydys, A. (2012). Gauge theory, calibrated geometry and harmonic spinors. Journal of the London Mathematical Society, 86(2), 482-498. doi:10.1112/jlms/jds008
Haydys, A. (2012). Gauge theory, calibrated geometry and harmonic spinors. Journal of the London Mathematical Society 86, 482-498.
Haydys, A., 2012. Gauge theory, calibrated geometry and harmonic spinors. Journal of the London Mathematical Society, 86(2), p 482-498.
A. Haydys, “Gauge theory, calibrated geometry and harmonic spinors”, Journal of the London Mathematical Society, vol. 86, 2012, pp. 482-498.
Haydys, A.: Gauge theory, calibrated geometry and harmonic spinors. Journal of the London Mathematical Society. 86, 482-498 (2012).
Haydys, Andriy. “Gauge theory, calibrated geometry and harmonic spinors”. Journal of the London Mathematical Society 86.2 (2012): 482-498.

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