EXPLICIT GEOMETRIC CONSTRUCTIONS OF BORDISM OF MILNOR HYPERSURFACE AND CP3×CPN-

In the present paper we construct two new explicit complex bordisms between any two projective bundles over C P 1 of the same complex dimension, including the Milnor hypersurface H 1 ,n and C P 1 ×C P n -1. These constructions reduce the bordism problem to the null-bordism of some projective bundle over C P 1 with the non-standard stably complex structure.

Authors
Solomadin Grigory 1
Conference proceedings
Сборник материалов международной конференции КРОМШ-2019 " XXX Крымская Осенняя Математическая Школа-симпозиум по спектральным и эволюционным задачам"
Publisher
"Полипринт"
Language
English
Pages
144-145
State
Published
Year
2019
Organizations
  • 1 Peoples' Friendship University of Russia (RUDN University)
Keywords
Unitary bordism; vector bundle; clutching functions; Milnor hypersurface; quasitoric manifolds
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