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Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
June 23, 2005, Moscow, Steklov Mathematical Institute of RAS, Room 430 (8 Gubkina)
 


Instanton decay and holomorphic surgery for vector bundles

Elizabeth Gasparim

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Abstract: I will define holomorphic surgery and give applications to decay of instantons.
Let $S$ be a sphere embedded in a 4-dimensional manifold, with negative self-intersection $SS=–k$. I will show that the behavior of instanton decay and instanton moduli depends on $k$. In particular, if $k\ge 2$ decay is obstructed.

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