The PoincareHopf Theorem











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=yg1AOpFjcvE

A talk I gave at the Lenoir-Rhyne math seminar a week or so ago, hosted by my friend Tim. • The Poincare-Hopf theorem is a really neat theorem that tells you exactly how the zeroes of a vector field (on, e.g., the sphere) relate to the behavior of the vector field around those 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