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Stratifications on the Nilpotent Cone of the moduli space of Hitchin pairs
(2020)
We consider the problem of finding the limit at infinity (corresponding to
the downward Morse flow) of a Higgs bundle in the nilpotent cone under the natural
C
∗
-action on the moduli space. For general rank we provide ...
Stratifications on the Moduli Space of Higgs Bundles
(2016-11-02)
The moduli space of Higgs bundles has two stratifications. The Bia lynickiBirula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises ...