Title: A compactness theorem of flat $SL(2,\mathbb{C})$ connections on $3$-folds
Abstract: In this article, we obtain a compactness theorem of flat $SL(2,\mathbb{C})$-connections by using a compactness theorem of Vafa-Witten equations proved by Tanaka (arXiv:1308.0862). We also using the compactness theorem to study the topology property of the moduli space of flat $SL(2,\mathbb{C})$-connections.
Publication Year: 2017
Publication Date: 2017-06-12
Language: en
Type: preprint
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