# -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…

## 5 Citations

On homology of the $MSU$ spectrum

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. In this paper we prove that the quotient of any real or complex moment-angle complex by any closed subgroup in the naturally acting compact torus on it is equivariantly homotopy equivalent to the…

$SU$-linear operations in complex cobordism and the $c_1$-spherical bordism theory

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We study the SU -linear operations in complex cobordism and prove that they are generated by the well-known geometric operations ∂i. For the theory W of c1-spherical bordism, we describe all SU…

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