The Positive Fundamental Group of Sp(2) and Sp(4)

Details The Positive Fundamental Group of Sp(2) and Sp(4) The Positive Fundamental Group of Sp(2) and Sp(4)

1997-12-02

arxiv.org/abs/dg-ga/9712003v1

Mathematics

Differential Geometry

26 pages, LaTex, 19 figures with psfig, submitted to Math. Annalen

Scientific paper

In this paper, we examine the homotopy classes of positive loops in Sp(2) and
Sp(4). We show that two positive loops are homotopic if and only if they are
homotopic through positive loops.

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