Web8 de mar. de 2024 · These different perspectives lead to interesting generalizations known as higher Teichmuller spaces. Higgs bundles on Riemann surfaces are holomorphic bundles with an auxiliary feature known as the Higgs field. With roots in physical and mathematical gauge theory they have moduli spaces with rich algebraic and geometric … Webfolds. In Chapter 7 we geometrically quantize the Higgs line bundle moduli space, and investigate the di culties of generalising the techniques used to the higher rank spaces. In particular we construct a projectively at Hitchin connection on the bundle of quantum spaces over Teichmuller space. As far as the author is aware, this is an original ...

(PDF) Parabolic Higgs bundles and Teichmüller spaces for …

Webimportant properties and interpretations. Chapter 5 concerns the Higgs bundle moduli space and the ways it generalises and compares to the stable bundle moduli space. In … WebAbstract: This paper is a survey on the role of Higgs bundle theory in the study of higher Teichmuller spaces. Recall that the Teichmuller space of a compact surface can be identified with a certain connected component of the moduli space of representations of the fundamental group of the surface into $\mathrm {PSL} (2, {\mathbb {R}})$. how many square feet will a 5000 btu ac cool

Higgs bundles and higher Teichmüller spaces - NUS Mathematics

Webpurpose of this note is to introduce the theory of Higgs bundles, with a strong emphasis put on the role of harmonic maps. We will begin with an overview of Fricke-Teichmuller … Web14 de dez. de 2024 · We introduce the notions of deformation Higgs bundle and Riemann-Finsler metric on the moduli space of polarized varieties. We also use the Higgs-de … http://geomgrav.fi.ut.ee/inspire/search.php?q=citedby:recid:1675144 how did te fiti become te ka