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arXiv:0811.2274 [math.AT]AbstractReferencesReviewsResources

Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective Space

David Ayala

Published 2008-11-14, updated 2017-12-15Version 2

The primary goal of this paper is to find a homotopy theoretic approximation to moduli spaces of holomorphic maps Riemann surfaces into complex projective space. There is a similar treatment of a partial compactification of these moduli spaces of consisting of irreducible stable maps in the sense of Gromov-Witten theory. The arguments follow those from a paper of G. Segal on the topology of the space of rational functions.

Comments: There is an error invalidating the main theorem. The error is pointed out as Remark 2.0.1. I am keeping this paper posted in case the ideas in it are useful to others
Categories: math.AT
Subjects: 32G15, 14H15
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