How Long to Read Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles

By Oscar García-Prada

How Long Does it Take to Read Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles?

It takes the average reader 1 hour and 20 minutes to read Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles by Oscar García-Prada

Assuming a reading speed of 250 words per minute. Learn more

Description

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

How long is Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles?

Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles by Oscar García-Prada is 80 pages long, and a total of 20,000 words.

This makes it 27% the length of the average book. It also has 24% more words than the average book.

How Long Does it Take to Read Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 49 minutes to read Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles aloud.

What Reading Level is Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles?

Betti Numbers of the Moduli Space of Rank 3 Parabolic Higgs Bundles is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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