The Argument Principle and Boundaries of Analytic Varieties


John Wermer

Brown University

Brandeis University

Thursday, April 18, 2002


Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall


Abstract:   Let M be a smooth compact oriented manifold in Cn. When does there exist a complex analytic variety having M as its boundary? In 1975 R. Harvey and B. Lawson solved this problem using a condition on the tangent spaces to M. In recent years H. Alexander and I gave a topological condition on M which can be viewed as a generalization of the argument principle of classical function theory. I shall talk about our solution.

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