Rationally Connected Varieties and Loop Spaces

We consider rationally connected complex projective manifolds $M$ and show that their loop spaces-infinite dimensional complex manifolds--have properties similar to those of $M$. Furthermore, we give a finite dimensional application concerning holomorphic vector bundles over rationally connected complex projective manifolds.

2010 Mathematics Subject Classification

14J10, 14M20, 46T10, 58B12

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Published 1 January 2007