@misc{10481/64668,
year = {2006},
month = {8},
url = {http://hdl.handle.net/10481/64668},
abstract = {The topological and differentiable structures of some moduli spaces constructed from flat Riemannian tori (concretely,
H\(Gl(2,R)+/Sl(2, Z)), H = O+(2,R), CO+(2,R), O(2,R), CO(2,R)) is studied by means of a cut-and-paste
procedure. In the orientation preserving cases, the quotients admit a structure of orbifold with singular points corresponding
to lattices in the square and hexagonal crystal systems. In the non-orientation preserving ones, the
structure is a smooth manifold with piecewise smooth boundary, where the interior points corresponds to oblique
lattices, and the edge of the boundary to square and hexagonal ones.},
title = {Lattices and manifolds of classes of flat tori},
author = {Ramírez Uclés, Rafael and Sánchez, Miguel},
}