Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

by Shu Shen, Zhaoting Wei, Jean-Michel Bismut

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...

• Format: Hardcover
• Language: English
• ISBN: 3031272331
• ISBN13: 9783031272332
• Release Date: November 2023
• Publisher: Birkhauser
• Length: 184 Pages
• Weight: 1.00 lbs.
• Dimensions: 0.5" x 6.1" x 9.2"