Superconnections and the Grauert direct image theorem

DOI10.1134/S0001434624050201MaRDI QIDQ6576770

G. C. Papayanov

Publication date: 23 July 2024

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

direct imagecomplex manifolddg-categoryhomotopy transfer

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58Jxx) Local theory in algebraic geometry (14Bxx) (Co)homology theory in algebraic geometry (14Fxx)

Cites Work

• Title not available (Why is that?)
• Dolbeault dga and \(L_{\infty}\)-algebroid of the formal neighborhood
• Explicit homotopy limits of \(\mathrm{dg}\)-categories and twisted complexes
• The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
• Hirzebruch-Riemann-Roch for Coherent Sheaves
• Differential perturbations and $ D_\infty$-differential modules
• Coherent sheaves, Chern classes, and superconnections on compact complex-analytic manifolds

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