PIRSA:12050025 Conference Mathematical physics

DOI10.48660/12050025

Conference/School: GAP 2012: Geometry and Physics

Hurtubise, J. (2012). Flat Bundles and Grassmann Framings. Perimeter Institute. https://pirsa.org/12050025

Hurtubise, Jacques. Flat Bundles and Grassmann Framings. Perimeter Institute, May. 06, 2012, https://pirsa.org/12050025 

@misc{ pirsa_PIRSA:12050025,
  doi = {10.48660/12050025},
  url = {https://pirsa.org/12050025},
  author = {Hurtubise, Jacques},
  keywords = {Mathematical physics},
  language = {en},
  title = {Flat Bundles and Grassmann Framings},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {may},
  note = {PIRSA:12050025 see, \url{https://pirsa.org}}
}

Abstract

When considering flat unitary bundles on a punctured Riemann surface, it is often convenient to have a space that includes all possible holonomies around the punctures; such a space is provided by the extended moduli space of Jeffrey. On the other hand, there are certain inconveniences, in particular no clear link to complex geometry via a Narasimhan-Seshadri type theorem. It turns out that the situation can be remedied quite nicely by considering bundles with framings taking values in a Grassmannian. Analogs for general structure groups, and in particular links with recent work of Martens and Thaddeus, will also be discussed. (This is joint work with U. Bhosle and I. Biswas.)

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