Non-compact families of complete, properly immersed minimal immersions with fixed topology via desingularization

Abstract

For fixed large genus, we construct families of complete immersed minimal surfaces in R3 with four ends and dihedral symmetries. The families exist for all large genus and at an appropriate scale degenerate to the plane.

45 page, 1 figure

References in corpus (2)

• Doubling and Desingularization Constructions for Minimal Surfaces
• Helicoidal minimal surfaces of prescribed genus, II

Cited by in corpus (1)

• Minimal laminations with prescribed convex curvature blowup