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Stratifications on the nilpotent cone of the moduli space of Hitchin pairs

Title
Stratifications on the nilpotent cone of the moduli space of Hitchin pairs
Type
Article in International Scientific Journal
Year
2022
Authors
Zuniga Rojas, RA
(Author)
Other
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Journal
Vol. 35
Pages: 311-321
ISSN: 1139-1138
Publisher: Springer Nature
Other information
Authenticus ID: P-00V-3V6
Abstract (EN): 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.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 11
Documents
File name Description Size
2006.08837 Accepted manuscript 153.67 KB
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