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

David Ayala

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arXiv · 0811.2274

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

David Ayala

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Abstract

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.

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BibTeX RIS

David Ayala. 2008-11-14. Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective Space. https://arxiv.org/abs/0811.2274

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