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Mathematics > Differential Geometry

arXiv:math/0002072 (math)
[Submitted on 10 Feb 2000]

Title:Energy in Yang-Mills on a Riemann Surface

Authors:Dana Stanley Fine
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Abstract: Sengupta's lower bound for the Yang-Mills action on smooth connections on a bundle over a Riemann surface generalizes to the space of connections whose action is finite. In this larger space the inequality can always be saturated. The Yang-Mills critical sets correspond to critical sets of the energy action on a space of paths. This may shed light on Atiyah and Bott's conjecture concerning Morse theory for the space of connections modulo gauge transformations.
Comments: 7 pages, 2 figures, Latex2e with epsfig, submitted to Journal of Mathematical Physics
Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
MSC classes: 81T13
Cite as: arXiv:math/0002072 [math.DG]
  (or arXiv:math/0002072v1 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.math/0002072
Journal reference: J.Math.Phys. 41 (2000) 4387-4390
Related DOI: https://doi.org/10.1063/1.533348

Submission history

From: Dana Stanley Fine [view email]
[v1] Thu, 10 Feb 2000 14:45:50 UTC (10 KB)
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