The Hirzebruch ${\chi }_y$-genus and Poincare polynomial revisited

Abstract

The Hirzebruch ${\chi }_y$-genus and Poincare polynomial share some similar features. In this article we investigate two of their similar features simultaneously. Through this process we shall derive several new results as well as reprove and improve some known results.

arXiv commentto appear in Communications in Contemporary Mathematics

References in corpus (2)

• The rigidity of Dolbeault-type operators and symplectic circle actions
• A Geometric Interpretation of the χ-{y} Genus on Hyper-Kahler Manifolds

Cited by in corpus (3)

• Kähler hyperbolic manifolds and Chern number inequalities
• Characteristic numbers, Jiang subgroup and non-positive curvature
• Compactification of homology cells, Fujita's conjectures and the complex projective space