Mathematical Research Letters

Volume 29 (2022)

Number 5

Counting twisted Higgs bundles

Pages: 1551 – 1570



Sergey Mozgovoy (School of Mathematics, Trinity College Dublin, Ireland)

Ronan O’Gorman (Department of Mathematics, University of California, Berkeley, Calif., U.S.A.)


We prove an explicit formula, conjectured earlier by the first author, counting semistable twisted Higgs bundles over a smooth projective curve.

Received 3 August 2020

Accepted 21 December 2021

Published 21 April 2023