Analytic Continuation in Mapping Spaces

作者：Lempert Laszlo^*

来源：Pure and Applied Mathematics Quarterly, 2010, 6(4): 1051-1080.

• Analytic continuation
• Stein manifolds
• Serre fibrations

We consider a Stein manifold M of dimension >= 2 and a compact subset K subset of M such that M'=M\K is connected. Let S be a compact direrential manifold, and let M(S), resp. M'(S) stand for the complex manifold of maps S -> M, resp. S -> M', of some specified regularity that are homotopic to constant. We prove that any holom orphic function on M'(S) continues analytically to M(S) (perhaps as a multivalued function)

• 出版日期2010