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The space of immersed surfaces in a manifold

Published online by Cambridge University Press:  16 January 2013

OSCAR RANDAL–WILLIAMS
OSCAR RANDAL–WILLIAMS*
Affiliation:
DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB. e-mail: o.randal-williams@dpmms.cam.ac.uk
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Abstract

We study the cohomology of the space of immersed genus g surfaces in a simply-connected manifold. We compute the rational cohomology of this space in a stable range which goes to infinity with g. In fact, in this stable range we are also able to obtain information about torsion in the cohomology of this space, as long as we localise away from (g-1).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 154 , Issue 3 , May 2013 , pp. 419 - 438
Copyright
Copyright © Cambridge Philosophical Society 2013

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