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AN INTRODUCTION TO THE HOPF FIBRATION

By

Miloslava Ranglova

SPSU Mathematics Major and Honor Student

Tuesday, April 26, 2005

2 pm D219

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Get to know the beauty of the Hopf fibration, a remarkable discovery in topology and physics. Quaternions, rotations, stereographic projections, and the secret lives of circles in various spaces reveal the tip of the iceberg that is the Hopf fibration, a device that gives us a sense of how the 3-sphere looks by showing us how it behaves.

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