SIMPLY CONNECTED MANIFOLDS OF DIMENSION 4k WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2015, v.22 no.4, pp.359-364

https://doi.org/10.7468/jksmeb.2015.22.4.359

KIM, JONGSU (Department of Mathematics, Sogang University)

KIM, JONGSU. (2015). SIMPLY CONNECTED MANIFOLDS OF DIMENSION 4k WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES. 한국수학교육학회지시리즈B:순수및응용수학, 22(4), 359-364, https://doi.org/10.7468/jksmeb.2015.22.4.359

복사

Abstract

We present smooth simply connected closed 4k-dimensional manifolds N := Nk, for each k ∈ {2, 3, ⋯}, with distinct symplectic deformation equivalence classes [[ωi]], i = 1, 2. To distinguish [[ωi]]’s, we used the symplectic Z invariant in <xref>[4]</xref> which depends only on the symplectic deformation equivalence class. We have computed that Z(N, [[ω1]]) = ∞ and Z(N, [[ω2]]) < 0.

keywords: almost K&#x4d3, hler metric, scalar curvature, symplectic manifold, symplectic deformation equivalence class

참고문헌

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논문 상세

Vol.22 No.4

SIMPLY CONNECTED MANIFOLDS OF DIMENSION 4k WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES

SIMPLY CONNECTED MANIFOLDS OF DIMENSION 4k WITH TWO SYMPLECTIC DEFORMATION EQUIVALENCE CLASSES

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학