-bordism: structure results and geometric representatives

DOI10.1070/RM9883zbMath1437.55006arXiv1903.07178WikidataQ127591554 ScholiaQ127591554MaRDI QIDQ5220234

G. S. Chernykh, Ivan Limonchenko, Taras E.Panov

Publication date: 11 March 2020

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

Full work available at URL: https://arxiv.org/abs/1903.07178

zbMATH Keywords

toric varietiesCalabi-Yau manifoldsChern classesquasi-toric manifolds\(SU\)-manifoldsspecial unitary bordism

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Complex cobordism ((mathrm{U})- and (mathrm{SU})-cobordism) (57R77) Adams spectral sequences (55T15) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Related Items (6)

Vladimir Abramovich Rokhlin and algebraic topology ⋮ M/F-theory as Mf-theory ⋮ $SU$-linear operations in complex cobordism and the $c_1$-spherical bordism theory ⋮ Landweber exactness of the formal group law in \(c_1\)-spherical bordism ⋮ On the homotopy decomposition for the quotient of a moment-angle complex and its applications ⋮ Homology of the \(MSU\) spectrum

Uses Software

• Calabi-Yau database

Cites Work

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