Poincaré polynomial and \(\mathrm{SL}(2, \mathbb C)\)-representation on Kähler manifolds

DOI10.1007/s00013-013-0584-2zbMath1283.53070OpenAlexW1779036491MaRDI QIDQ387600

Ping Li

Publication date: 23 December 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0584-2

zbMATH Keywords

characterPoincaré polynomialKähler manifold\(\mathrm{SL}(2, \mathbb C)\)-representation

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Characteristic classes and numbers in differential topology (57R20) Algebraic topology on manifolds and differential topology (57R19)

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The Hirzebruch χy-genus and Poincaré polynomial revisited

Cites Work

• A geometric interpretation of the \(\chi_y\) genus on hyper-Kähler manifolds
• Differential Analysis on Complex Manifolds
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