Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφέας: Zúñiga Rojas, Ronald Alberto
Μορφή: artículo preliminar
Ημερομηνία έκδοσης:2020
Περιγραφή:There is an isomorphism between the moduli spaces of σ-stable holomorphic triples and some of the critical submanifolds of the moduli space of k-Higgs bundles of rank three, whose elements (E, ϕk ) correspond to variations of Hodge structure, VHS. There are special embeddings on the moduli spaces of k-Higgs bundles of rank three. The main objective here is to study the cohomology of the critical submanifolds of such moduli spaces, extending those embeddings to moduli spaces of holomorphic triples.
Χώρα:Kérwá
Ίδρυμα:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/81732
Διαθέσιμο Online:https://arxiv.org/abs/1803.01936
https://hdl.handle.net/10669/81732
Access Level:acceso abierto
Λέξη-Κλειδί :Higgs bundles
Holomorphic triples
Moduli spaces
Variations of Hodge structure