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)

Publishing date

1997-12-02

URL

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

Science

Mathematics

Field

Differential Geometry

Additional info

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

Type

Scientific paper

Abstract

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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