$ \mathbb{C}P(2)$-multiplicative Hirzebruch genera and elliptic cohomology

DOI10.1070/RM2014V069N04ABEH004912zbMath1367.57019OpenAlexW2416591765MaRDI QIDQ2936528

E. Yu. Netaĭ, Victor M. Buchstaber

Publication date: 17 December 2014

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2014v069n04abeh004912

zbMATH Keywords

Hirzebruch genusformal grouprigid\(\mathbb CP(2)\)-multiplicativegeneral elliptic genus

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Characteristic classes and numbers in differential topology (57R20) Elliptic genera (58J26) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Complex cobordism ((mathrm{U})- and (mathrm{SU})-cobordism) (57R77)

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Hirzebruch functional equations and Krichever complex genera ⋮ Manifolds of solutions for Hirzebruch functional equations ⋮ Elliptic function of level 4 ⋮ Hirzebruch functional equation: classification of solutions ⋮ Cobordisms, manifolds with torus action, and functional equations ⋮ Функциональное уравнение Хирцебруха и эллиптические функции уровня $d$

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