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

• Autor(es): Gothen, PB ; Zuniga Rojas, RA
• Data: 2022
• Identificador Persistente: https://hdl.handle.net/10216/147445
• Origem: Repositório Aberto da Universidade do Porto
• Tipo de Documento: Artigo científico
• Idioma: Inglês

Descrição

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.