Connecting lemmas and representing homology classes of simply connected 4-manifolds

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Abstract

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.

Original languageEnglish
Pages (from-to)245-261
Number of pages17
JournalTokyo Journal of Mathematics
Volume19
Issue number1
DOIs
Publication statusPublished - 1996 Jan 1

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ASJC Scopus subject areas

  • Mathematics(all)

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