Smooth structures on definite four-manifolds with infinite fundamental group

/ Authors

/ Abstract

For each odd integer $p>1$, we construct infinitely many pairwise non-diffeomorphic irreducible smooth structures on a definite 4-manifold with infinite fundamental group whose abelianization is $\Z/2p\Z\times \Z/2\Z$.

Smooth structures on definite four-manifolds with infinite fundamental group

/ Authors

Sebasti'an M. Camponovo, Rafael Torres

/ Abstract

For each odd integer $p>1$, we construct infinitely many pairwise non-diffeomorphic irreducible smooth structures on a definite 4-manifold with infinite fundamental group whose abelianization is $\Z/2p\Z\times \Z/2\Z$.