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arXiv · 1803.03923

The cohomology of free loop spaces of rank 2 flag manifolds

Matthew I. Burfitt·Jelena Grbić
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Abstract

A complete flag manifold is the quotient of a Lie group by its maximal torus. The rank of a flag manifold is the dimension of the maximal torus of the Lie group. The rank 2 complete flag manifolds are $SU(3)/T^2$, $Sp(2)/T^2$, $Spin(4)/T^2$, $Spin(5)/T^2$ and $G_2/T^2$. In this paper we calculate the cohomology of the free loop space of rank 2 complete flag manifolds.

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Matthew I. Burfitt, Jelena Grbić. 2018-03-11. The cohomology of free loop spaces of rank 2 flag manifolds. https://arxiv.org/abs/1803.03923

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