Premium
Link Homology in 4‐Manifolds
Author(s) -
Yasuhara Akira
Publication year - 1996
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/28.4.409
Subject(s) - mathematics , betti number , homology (biology) , manifold (fluid mechanics) , pure mathematics , intersection (aeronautics) , connection (principal bundle)
We define link homology in 4‐manifolds, and show that it has a close connection to linking numbers and intersection matrices of 4‐manifolds. We also define null‐homologous links in 4‐manifolds. We give a necessary and sufficient condition for links to be null‐homologous in 4‐manifolds. This condition implies that for any 4‐manifold with second Betti number n , there are ( n + 2)‐component links which are not nullhomologous in the 4‐manifold.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom