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Notes on the geography of the plane at infinity

Jack Morava

math.QAarXiv:math/0610048

Abstract

The second relative homotopy group π2(V(),V()) (of the complex relative to the real points of an algebraic variety) encodes interesting information about the `bubbling' phenomena of quantum cohomology. We consider these groups in particular for genus zero Deligne-Mumford moduli spaces, as well as for certain generalizations introduced more recently by Manin and Losev.

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