Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles is popular PDF and ePub book, written by Oscar García-Prada in 2007, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles can be Read Online from any device for your convenience.
Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles Book PDF Summary
Parabolic Higgs bundles on a Riemann surface are of interest for many reasons, one of them being their importance in the study of representations of the fundamental group of the punctured surface in the complex general linear group. In this paper the authors calculate the Betti numbers of the moduli space of rank 3 parabolic Higgs bundles with fixed and non-fixed determinant, using Morse theory. A key point is that certain critical submanifolds of the Morse function can be identified with moduli spaces of parabolic triples. These moduli spaces come in families depending on a real parameter and the authors carry out a careful analysis of them by studying their variation with this parameter. Thus the authors obtain in particular information about the topology of the moduli spaces of parabolic triples for the value of the parameter relevant to the study of parabolic Higgs bundles. The remaining critical submanifolds are also described: one of them is the moduli space of parabolic bundles, while the rem
Detail Book of Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles PDF
- Author : Oscar García-Prada
- Release : 03 June 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821839720
- Genre : Mathematics
- Total Page : 80 pages
- Language : English
- PDF File Size : 7,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles by Oscar García-Prada, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.