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Almost complex structure and the quotient four-manifold by an anti-symplectic involution

Title
Almost complex structure and the quotient four-manifold by an anti-symplectic involution
Authors
Cho Y.S.Hong Y.H.
Ewha Authors
조용승
SCOPUS Author ID
조용승scopus
Issue Date
2010
Journal Title
Topology and its Applications
ISSN
0166-8641JCR Link
Citation
vol. 157, no. 2, pp. 385 - 392
Indexed
SCIE; SCOPUS WOS scopus
Abstract
Suppose that X is a closed, symplectic four-manifold with an anti-symplectic involution σ and its two-dimensional fixed point set. We show that the quotient X / σ admits no almost complex structure if b 2 + (X) ≢ b 1 (X) + 3 mod 4. As a partial converse if X is simply-connected and b 2 + (X) ≡ 3 mod 4, then the X / σ admits an almost complex structure. Also we show that the quotient X / σ admits an almost complex structure if X is Kähler and b 2 + (X) ≡ b 1 (X) + 3 mod 4. © 2009 Elsevier B.V. All rights reserved.
DOI
10.1016/j.topol.2009.09.007
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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