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Title:
Hermitian-Yang-Mills connections over asymptotically cylindrical Kahler manifolds
Speaker:
Abstract:
In this talk I will discuss an extension of the Theorem of Donaldson-Uhlenbeck-Yau to the non-compact setting. Given a complete Kahler manifold X with a cylindrical end, I will prove existence of a Hermitian-Yang-Mills connection on a reflexive sheaf over X. I will demonstrate how to achieve exponential decay of a solution along the cylindrical end, which has applications to the study of G2-instantons. This is joint work with T. Walpuski.
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