Abstract:
The SU-bordism theory was the subject of intensive study in algebraic topology of the 1960s. Many leading topologists of the time contributed to the description of the SU-bordism ring, which combined 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 work of Novikov. Thanks to toric topology, a new geometric approach to calculations with SU-bordism has emerged, which is based on representing generators of the SU-bordism ring and other important SU-bordism classes by quasitoric manifolds and Calabi–Yau hypersurfaces in toric varieties.
