Index theory for certain complete Kähler manifolds

DOI10.4310/jdg/1214453896zbMath0795.53063OpenAlexW2085099992WikidataQ115180215 ScholiaQ115180215MaRDI QIDQ688584

Mark Stern

Publication date: 11 September 1994

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214453896

zbMATH Keywords

Euler characteristicDirac operatorHodge decompositionChern characterRiemann-Roch theoremscurvature formfirst Chern classTodd classlogarithmic connectionPoincaré growth

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (5)

Monopole and dyon bound states in \(N=2\) supersymmetric Yang-Mills theories ⋮ An Application of the Index Theorem for Manifolds with Fibered Boundaries ⋮ Instantons on multi-Taub-NUT spaces. I: Asymptotic form and index theorem ⋮ Perturbed Dolbeault operators and the homology Todd class ⋮ Lefschetz formulae for arithmetic varieties

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