(1) Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstrasse 1 1/2, 91054 Erlangen, Germany;(2) Department of Mathematics and Computer Science, Bar-Ilan University, Ramat Gan, 52900, Israel
Abstract:
This paper is the first in a series of three papers concerning the surface T×T. Here we study the degeneration of T×T and the regeneration of its degenerated object. We also study the braid monodromy and its regeneration.