10 documents found, page 1 of 1

O futuro da investigação em Matemática na visão do CMUP

Unramified covers and branes on the Hitchin system

We study the locus of the moduli space of GL(n, C)-Higgs bundles on a curve given by those Higgs bundles obtained by pushforward under a connected unramified cover. We equip these loci with a hyperholomorphic bundle so that they can be viewed as BBB-branes, and we introduce corresponding BAA-branes which can be described via Hecke modifications. We then show how these branes are naturally dual via explicit Four...

Complex Lagrangians in a hyperKaehler manifold and the relative Albanese

Adiposity and attained height in adolescents: a longitudinal analysis from the ...

Background: To investigate the associations between adiposity and attained height over a 2-year period in healthy adolescents. Methods: One thousand and seventeen adolescents aged 12-18 years participated in this cohort study; 893 (87.8%) were reevaluated 1 year later (T2) and 734 (72.2%) subjects 2 years later (T3). Body fat and anthropometry were measured according to standardized procedures. Socioeconomic st...

Topological mirror symmetry for parabolic Higgs bundles

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.

Exotic components of SO(p,q) surface group representations, and their Higgs bun...

Maximal Higgs bundles for adjoint forms via Cayley correspondence

For a fixed compact Riemann surface X, of genus at least 2, we count the number of connected components of the moduli space of maximal Higgs bundles over X for the hermitian groups PSp(2n, R), PSO*(2n), PSO0(2, n) and E-6(-14). Hence the same result follows for the number of connected components of the moduli space of maximal representations of pi X-1 in these groups. We use the Cayley correspondence proved in ...

Quadric bundles applied to non-maximal Higgs bundles

Connectedness of Higgs bundle moduli for complex reductive Lie groups

Habilidades técnicas e a performance em basquetebolistas : um estudo realizado ...