Notes on the geography of the plane at infinity
Abstract
The second relative homotopy group \pi_2(V(\C),V(\R)) (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 DeligneMumford moduli spaces, as well as for certain generalizations introduced more recently by Manin and Losev.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 2006
 arXiv:
 arXiv:math/0610048
 Bibcode:
 2006math.....10048M
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Algebraic Geometry;
 14N35;
 18D50;
 55P48
 EPrint:
 An attempt to encode bubbling into the fundamental group(oid)