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

Research output: Contribution to journalArticle

15 Citations (Scopus)

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
Externally publishedYes

Fingerprint

4-manifold
Homology
Lemma
Non-orientable Surface
Euler numbers
Betti numbers
Class
Estimate

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Connecting lemmas and representing homology classes of simply connected 4-manifolds. / Yasuhara, Akira.

In: Tokyo Journal of Mathematics, Vol. 19, No. 1, 01.01.1996, p. 245-261.

Research output: Contribution to journalArticle

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