-bordism: structure results and geometric representatives

@article{Limonchenko2019bordismSR,
  title={-bordism: structure results and geometric representatives},
  author={Ivan Yu. Limonchenko and Taras Panov and Georgy Chernykh},
  journal={Russian Mathematical Surveys},
  year={2019},
  volume={74},
  pages={461 - 524}
}
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 -bordism classes, including toric, quasi-toric, and Calabi–Yau manifolds. Bibliography: 56… 
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