How Long to Read Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

By Jean-Michel Bismut

How Long Does it Take to Read Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck?

It takes the average reader 3 hours and 1 minute to read Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck by Jean-Michel Bismut

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

Description

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the proof of a corresponding Riemann-Roch-Grothendieck theorem. One main tool used is the equivalence of categories established by Block between the derived category of bounded complexes with coherent cohomology and the homotopy category of antiholomorphic superconnections. Chern-Weil theoretic techniques are then used to construct forms that represent the Chern character. The main theorem is then established using methods of analysis, by combining local index theory with the hypoelliptic Laplacian. Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck is an important contribution to both the geometric and analytic study of complex manifolds and, as such, it will be a valuable resource for many researchers in geometry, analysis, and mathematical physics.

How long is Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck?

Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck by Jean-Michel Bismut is 181 pages long, and a total of 45,431 words.

This makes it 61% the length of the average book. It also has 56% more words than the average book.

How Long Does it Take to Read Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 8 minutes to read Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck aloud.

What Reading Level is Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck?

Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck 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 Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck?

Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck by Jean-Michel Bismut is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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