4 papers · 1 filter
Smooth structures on definite four-manifolds with infinite fundamental group
Sebastián M. Camponovo, Rafael Torres
For each odd integer , we construct infinitely many pairwise non-diffeomorphic irreducible smooth structures on a definite 4-manifold with infinite fundamental group whose a…
A cut-and-paste mechanism to introduce fundamental group and construct new four-manifolds
Valentina Bais, Rafael Torres
We introduce a simple cut-and-paste mechanism to construct both orientable and nonorientable four-manifolds from a given initial one. This mechanism alters the fundamental group wh…
Some examples of small irreducible exotic 4-manifolds with free abelian fundamental group
Valentina Bais, Rafael Torres, Daniele Zuddas
We produce examples of pairwise non-diffeomorphic closed irreducible 4-manifolds with non-trivial free abelian fundamental group of rank less than three and small Euler characteris…
Existence results of Spin-pseudo-Riemannian cobordisms
Valentina Bais, Victor Gustavo May Custodio, Rafael Torres
In this note, we study necessary and sufficient conditions for the existence of a Spin -dimensional cobordism that supports a non-singular and non-degenerate pseudo-Rieman…