TY - JOUR
T1 - Connecting lemmas and representing homology classes of simply connected 4-manifolds
AU - Yasuhara, Akira
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1996
Y1 - 1996
N2 - We consider surfaces in simply connected 4-manifolds. We estimate the normal Euler numbers of bounded non-orientable surfaces and consider the problem of representing characteristic homology classes by orientable surfaces. To do so, we develop techniques connecting the above problems for given surfaces with the problems for surfaces with fewer first Betti numbers.
AB - We consider surfaces in simply connected 4-manifolds. We estimate the normal Euler numbers of bounded non-orientable surfaces and consider the problem of representing characteristic homology classes by orientable surfaces. To do so, we develop techniques connecting the above problems for given surfaces with the problems for surfaces with fewer first Betti numbers.
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U2 - 10.3836/tjm/1270043232
DO - 10.3836/tjm/1270043232
M3 - Article
AN - SCOPUS:0011899034
SN - 0387-3870
VL - 19
SP - 245
EP - 261
JO - Tokyo Journal of Mathematics
JF - Tokyo Journal of Mathematics
IS - 1
ER -