Big Ideas Math: Modeling Real Life - Grade 7 Advanced Student Edition by Ron Larson

Big Ideas Math: Modeling Real Life - Grade 7 Advanced Student Edition by Ron Larson

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 formany researchers in geometry, analysis, and mathematical physics.

SKU	Unavailable
ISBN 13	9781642450644
ISBN 10	1642450642
Title	Big Ideas Math: Modeling Real Life - Grade 7 Advanced Student Edition
Author	Ron Larson
Condition	Unavailable
Binding Type	Paperback
Publisher	Big Ideas Learning, LLC
Year published	2018-08-14
Number of pages	691
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.