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math.GT2026
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…
math.GT2026
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…
math.GT2024
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…