Notes on the geography of the plane at infinity
Abstract
Description
The second relative homotopy group π_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 Deligne-Mumford moduli spaces, as well as for certain generalizations introduced more recently by Manin and Losev.
An attempt to encode bubbling into the fundamental group(oid)
An attempt to encode bubbling into the fundamental group(oid)