Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective Space - Mathematics > Algebraic TopologyReport as inadecuate




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Abstract: The primary goal of this paper is to find a homotopy theoretic approximationto moduli spaces of holomorphic maps Riemann surfaces into complex projectivespace. There is a similar treatment of a partial compactification of thesemoduli spaces of consisting of irreducible stable maps in the sense ofGromov-Witten theory. The arguments follow those from a paper of G. Segal onthe topology of the space of rational functions.



Author: David Ayala

Source: https://arxiv.org/







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