Continuity of the Yang-Mills flow on the set of semistable bundles

Benjamin Sibley; Richard Wentworth

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arXiv · 1904.02312

Continuity of the Yang-Mills flow on the set of semistable bundles

Benjamin Sibley·Richard Wentworth

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Abstract

A recent paper (arxiv.org:1810.00025) studied properties of a compactification of the moduli space of irreducible Hermitian-Yang-Mills connections on a hermitian bundle over a projective algebraic manifold. In this follow-up note, we show that the Yang-Mills flow at infinity on the space of semistable integrable connections defines a continuous map to the set of ideal connections used to define this compactification. Part of the proof involves a comparison between the topologies of the Grothendieck Quot scheme and the space of smooth connections.

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BibTeX RIS

Benjamin Sibley, Richard Wentworth. 2019-04-04. Continuity of the Yang-Mills flow on the set of semistable bundles. https://arxiv.org/abs/1904.02312

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