*Published Paper*

**Inserted:** 14 nov 2002

**Last Updated:** 3 may 2011

**Journal:** Topology

**Volume:** 44

**Number:** 1

**Pages:** 25-45

**Year:** 2003

**Abstract:**

For any 3-manifold $M^3$ and any nonnegative integer $g$, we give here examples of metrics on $M$ each of which has a sequence of embedded minimal surfaces of genus $g$ and without Morse index bounds. On any spherical space form $S^3/Gamma$ we construct such a metric with positive scalar curvature. More generally we construct such a metric with $Scal>0$ (and such surfaces) on any 3-manifold which carries a metric with $Scal>0$.

For the most updated version and eventual errata see the page

http:/www.math.uzh.ch*index.php?id=publikationen&key1=493
*

**Keywords:**
minimal surfaces, Morse index, positive scalar curvature, laminations