Morse Homology for the Yang-Mills Gradient Flow

Jan Swoboda

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arXiv · 1103.0845

Morse Homology for the Yang-Mills Gradient Flow

Jan Swoboda

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Abstract

We use the Yang-Mills gradient flow on the space of connections over a closed Riemann surface to construct a Morse-Bott chain complex. The chain groups are generated by Yang-Mills connections. The boundary operator is defined by counting the elements of appropriately defined moduli spaces of Yang-Mills gradient flow lines that converge asymptotically to Yang-Mills connections.

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BibTeX RIS

Jan Swoboda. 2011-03-04. Morse Homology for the Yang-Mills Gradient Flow. https://arxiv.org/abs/1103.0845

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