Toric polynomial generators in the unitary cobordism ring
Toric polynomial generators in the unitary cobordism ring

Yury Ustinovsky , Princeton University
Fine Hall 214
It is wellknown that the unitary cobordism ring Omega^* is isomorphic to the polynomial ring with one generator in every even degree. However explicit description of 'nice' representatives of the generators turns out to be a difficult problem. In this talk we aim at constructing connected algebraic toric polynomial generators of Omega^*. Recently large progress in this problem was obtained by Andrew Wilfong: he provided polynomial generators in all odd dimensions and dimensions one less than prime power. We resolve the problem in the remaining dimensions by applying certain birational equivariant modifications to the P^kbundles over P^{nk} (generalized 2stage Bott towers).