Deformation equivalence classes of complex surfaces with the first Betti number one, and the second Betti number zero
Algebraic Topology
2015-03-16 v1 Algebraic Geometry
Abstract
We will prove that the number of deformation equivalence classes of surfaces homotopy equivalent to a smooth, closed 4-manifold is finite, if the first Betti number is equal to one, and the second Betti number is equal to zero.
Keywords
Cite
@article{arxiv.1503.03968,
title = {Deformation equivalence classes of complex surfaces with the first Betti number one, and the second Betti number zero},
author = {Shota Murakami},
journal= {arXiv preprint arXiv:1503.03968},
year = {2015}
}