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 Fundam. Prikl. Mat., 2016, Volume 21, Issue 6, Pages 205–215 (Mi fpm1776)

The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a four-manifold

S. Terzić

University of Montenegro

Abstract: We provide a rational-homotopic proof that the ranks of the homotopy groups of a simply connected four-manifold depend only on its second Betti number. We also consider the based loop spaces of the gauge groups and the spaces of connections of a simply connected four-manifold and, using the models from rational homotopy theory, we obtain explicit formulas for their rational Pontryagin homology rings.

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UDC: 515.164.32

Citation: S. Terzić, “The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a four-manifold”, Fundam. Prikl. Mat., 21:6 (2016), 205–215

Citation in format AMSBIB
\Bibitem{Ter16} \by S.~Terzi\'c \paper The rational homology ring of the based loop space of the gauge groups and the spaces of connections on a~four-manifold \jour Fundam. Prikl. Mat. \yr 2016 \vol 21 \issue 6 \pages 205--215 \mathnet{http://mi.mathnet.ru/fpm1776}