Indecomposable surfaces in 4-space

Charles Livingston

Vol. 132 (1988), No. 2, 371–378

DOI: 10.2140/pjm.1988.132.371

Abstract

Knotted surfaces in 4-space are constructed which cannot be decomposed as the connected sum of knotted surfaces of lower genus.

Mathematical Subject Classification 2000

Primary: 57Q45

Secondary: 20E06, 20J05, 57M99

Milestones

Received: 16 March 1987

Published: 1 April 1988