How Long to Read Higher Complex Torsion and the Framing Principle

How Long Does it Take to Read Higher Complex Torsion and the Framing Principle?

It takes the average reader 1 hour and 35 minutes to read Higher Complex Torsion and the Framing Principle by Kiyoshi Igusa

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

Description

We prove that higher Franz-Reidemeister (FR) torsion satisfies the transfer property and a formula known as the 'Framing Principle' in full generality. We use these properties to compute the higher FR-torsion for all smooth bundles with oriented closed even dimensional manifold fibers. We also show that the higher complex torsion invariants of bundles with closed almost complex fibers are multiples of generalized Miller-Morita-Mumford classes.

How long is Higher Complex Torsion and the Framing Principle?

Higher Complex Torsion and the Framing Principle by Kiyoshi Igusa is 94 pages long, and a total of 23,876 words.

This makes it 32% the length of the average book. It also has 29% more words than the average book.

How Long Does it Take to Read Higher Complex Torsion and the Framing Principle Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 10 minutes to read Higher Complex Torsion and the Framing Principle aloud.

What Reading Level is Higher Complex Torsion and the Framing Principle?

Higher Complex Torsion and the Framing Principle 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.

Where Can I Buy Higher Complex Torsion and the Framing Principle?

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