Stratifications on the Nilpotent Cone of the moduli space of Hitchin pairs
artículo preliminar
Date
2020Author
Beier Gothen, Peter
Zúñiga Rojas, Ronald Alberto
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Show full item recordAbstract
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 an answer for Higgs bundles
with regular nilpotent Higgs field, while in rank three we give the complete answer. Our
results show that the limit can be described in terms of data defined by the Higgs field,
via a filtration of the underlying vector bundle
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- Matemática [232]