Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

by Jean-Michel Bismut, Zhaoting Wei, Shu Shen

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: Paperback
• Language: English
• ISBN: 3031272366
• ISBN13: 9783031272363
• Release Date: November 2024
• Publisher: Birkhauser
• Length: 184 Pages