Manifolds of solutions for Hirzebruch functional equations

DOI10.1134/S0081543815060115zbMath1331.32014OpenAlexW2284377823MaRDI QIDQ902057

Victor M. Buchstaber, Elena Yu. Bunkova

Publication date: 7 January 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543815060115

zbMATH Keywords

Hirzebruch genera

Mathematics Subject Classification ID

Complex manifolds (32Q99)

Related Items (6)

Hirzebruch functional equation and elliptic functions of level \(d\) ⋮ Elliptic function of level 4 ⋮ Hirzebruch functional equation: classification of solutions ⋮ Cobordisms, manifolds with torus action, and functional equations ⋮ Universal formal group for elliptic genus of level \(N\) ⋮ Todd function as weak analytic function

Cites Work

• Krichever formal groups
• Sur les genres multiplicatifs définis par des intégrales elliptiques. (On multiplicative genera defined by elliptic integrals)
• Generalized elliptic genera and Baker-Akhiezer functions
• The arithmetic of elliptic curves
• $ \mathbb{C}P(2)$-multiplicative Hirzebruch genera and elliptic cohomology
• Equivariant complex structures on homogeneous spaces and their cobordism classes
• Nikolai Petrovich Dolbilin (on his 70th birthday)
• Toric Topology
• ADAMS OPERATORS AND FIXED POINTS
• Functional equations associated with addition theorems for elliptic functions and two-valued algebraic groups
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