Premium
Diffeomorphisms of 4‐Manifolds
Author(s) -
Wall C. T. C.
Publication year - 1964
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s1-39.1.131
Subject(s) - citation , computer science , combinatorics , information retrieval , library science , mathematics
The paper is devoted to finding conditions to the existence of a self-indexing energy function for Morse-Smale diffeomorphisms on a 3manifold M3. These conditions involve how the stable and unstable manifolds of saddle points are embedded in the ambient manifold. We also show that the existence of a self-indexing energy function is equivalent to the existence of a Heegaard splitting of M3 of a special type with respect to the considered diffeomorphism. Mathematics Subject Classification: 37B25, 37D15, 57M30.