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Published February 2020 | Submitted + Published
Journal Article Open

Multi-cover skeins, quivers, and 3d

Abstract

The relation between open topological strings and representation theory of symmetric quivers is explored beyond the original setting of the knot-quiver correspondence. Multiple cover generalizations of the skein relation for boundaries of holomorphic disks on a Lagrangian brane are observed to generate dual quiver descriptions of the geometry. Embedding into M-theory, a large class of dualities of 3d

Additional Information

© The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: November 14, 2019. Accepted: January 19, 2020. Published: February 4, 2020. We would like to thank Tudor Dimofte, Andrew Neitzke, Sara Pasquetti, Du Pei, Marko Stošić, and Paul Wedrich for insightful discussions. The work of T.E. is supported by the Knut and Alice Wallenberg Foundation and the Swedish Research Council. The work of P.K. is supported by the Polish Ministry of Science and Higher Education through its programme Mobility Plus (decision no. 1667/MOB/V/2017/0). The work of P.L. is supported by a grant from the Swiss National Science foundation. He also acknowledges the support of the NCCR SwissMAP that is also funded by the Swiss National Science foundation. The work of P.L. is also supported by the National Science Foundation under Grant No. DMS-1440140 while the author is in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Fall 2019 semester.

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Published - Ekholm2020_Article_Multi-coverSkeinsQuiversAnd3dN.pdf

Submitted - 1910.06193.pdf

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August 19, 2023
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