4-manifold problems. (English) Zbl 0558.57004

Four-manifold theory, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Durham/N.H. 1982, Contemp. Math. 35, 513-528 (1984).
[For the entire collection see Zbl 0549.00018.]
We begin by updating our 1976 list of 4-dimensional problems in [Proc. Symp. Pure. Math. 32, 273-312 (1978; Zbl 0394.57002)], as well as a few slice knot theory problems. This update starts with a brief review of the theorems of Freedman, Donaldson and Quinn which have affected the subject so greatly. Next follows a list of new problems, on knot theory and on 4- manifolds, which is based on problem sessions in July 1982 in Durham N. H. and in August 1983 in Santa Barbara, California.


57N13 Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010)
57M25 Knots and links in the \(3\)-sphere (MSC2010)
00A07 Problem books
57N10 Topology of general \(3\)-manifolds (MSC2010)
57Q45 Knots and links in high dimensions (PL-topology) (MSC2010)