Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck
Progress in Mathematics
Bismut, Jean-Michel
Shen, Shu
Wei, Zhaoting
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New in softcover. Hardcover was published in 2023. 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.