Topological mirror symmetry for parabolic Higgs bundles

• Type: Article in International Scientific Journal
• Date: 2019

Authors

André Oliveira (Author) FCUP; Gothen, PB (Author) FCUP

Journal

Title: Journal of Geometry and Physics

Vol. 137

Pages: 7-34

ISSN: 0393-0440

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 12 Citations

Scopus - 12 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics > Geometry > Algebraic geometry

Other information

Authenticus ID: P-00P-YS3

DOI: 10.1016/j.geomphys.2018.08.020

Abstract (EN): We prove the topological mirror symmetry conjecture of Hausel-Thaddeus (Hausel and Thaddeus, 2001, 2003) for the moduli space of strongly parabolic Higgs bundles of rank two and three, with full flags, for any generic weights. Although the main theorem is proved only for rank at most three, most of the results are proved for any prime rank.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 28