N. E. Mnëv, “Which circle bundles can be triangulated over <nobr>$\partial\Delta^3$</nobr>?”, Zap. Nauchn. Sem. POMI, 2018, Volume 468,Pages <nobr>75

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I

Which circle bundles can be triangulated over $\partial\Delta^3$?

N. E. Mnëv^ab

^a St. Petersburg Department of Steklov Institute of Mathematics, St. Petersburg, Russia
^b Chebyshev Laboratory of St. Petersburg State University, St. Petersburg, Russia

Abstract: We prove that having the boundary of the standard three-dimensional simplex $\partial\Delta^3$ as the base of a triangulation, one can triangulate only trivial and Hopf circle bundles.

Key words and phrases: circle bundle, triangulation, Gauss–Bonnet–Chern theorem.

UDC: 514.762

Received: 19.07.2018

Language: English