Summary: DOUBLE KNOT SURGERIES TO S4
AND S2
× S2
SELMAN AKBULUT
Abstract. It is known that S4
is a union of two fishtails, and
S2
× S2
is a union of two cusps (glued along their boundaries).
Here we prove that for any choice of knots K, L S3
performing
knot surgery operations S4
; S4
K,L and S2
× S2
; (S2
× S2
)K,L
along both of these fishtails and cusps, respectively, do not change
the diffeomorphism type of these manifolds.

Source: Akbulut, Selman - Department of Mathematics, Michigan State University

Collections: Mathematics