42 citations · 322 across the 32 of their papers we have counts for
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math.AG2014★ 18 cited
Counting Higgs bundles
Sergey Mozgovoy, Olivier Schiffmann
We prove a closed formula counting semistable twisted Higgs bundles of fixed rank and degree over a smooth projective curve defined over a finite field. We also prove a formula for…
math.AG2014
Arithmetic of character varieties of free groups
Sergey Mozgovoy, Markus Reineke
Via counting over finite fields, we derive explicit formulas for the E-polynomials and Euler characteristics of GL(d)- and PGL(d)-character varieties of free groups. We prove a pos…