Authors: Limonchenko, Ivan 
Panov, T. E.
Chernykh, G.
Title: SU-bordism: structure results and geometric representatives
Journal: Russian Mathematical Surveys
Volume: 74
Issue: 3
First page: 461
Last page: 524
Issue Date: 2019
Rank: M21a
ISSN: 0036-0279
DOI: 10.1070/RM9883
Abstract: 
The first part of this survey gives a modernised exposition of the structure of the special unitary bordism ring, by combining the classical geometric methods of Conner–Floyd, Wall, and Stong with the Adams–Novikov spectral sequence and formal group law techniques that emerged after the fundamental 1967 paper of Novikov. In the second part toric topology is used to describe geometric representatives in SU-bordism classes, including toric, quasi-toric, and Calabi–Yau manifolds.
Keywords: special unitary bordism | SU-manifolds | Chern classes | toric varieties | quasi-toric manifolds | Calabi–Yau manifolds
Publisher: Russian Academy of Sciences

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