대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제35권1호
  • /
  • Pages.1-12
  • /
  • 1998
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

Exotic symplectic structures on $S^3{\times}R$

  • Cho, Yong-Seoung (Department of Mathematics, Ewha Womans University, Seoul 120-750) ;
  • Yoon, Jin-Yue (Department of Mathematics, Ewha Womans University, Seoul 120-750)
  • 발행 : 1998.02.01
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초록

We construct exotic symplectic structures on $S^3 \times R$ which is obtained by the symplectic sum of two smooth symplectic four-manifolds with exotic symplectic structures, each of which is diffeomorphic to $R^4$.

키워드

참고문헌

  1. J. Diff. Geom v.32 A Remarkable Symplectic Structure Larry Bates and George Peschke
  2. Annals of Math v.142 A New Construction of Symplectic Manifold Robert E
  3. Invent. Mat v.82 Pseudo Holomorphic Curves in Symplectic Manifolds M. Gromov
  4. Invent. Math v.89 Examples of Symplectic Structures Dusa McDuff
  5. Introduction to Symplectic Topology Dusa McDuff and Dietman Salamon
  6. Characteristic Classes, John Milnor;James D. Stasheff
  7. Differential Geometric Structures Walter A. Poor
  8. Proc. Amer. Math. Soc. v.55 Some simple examples of symplectic manifolds W. Thurston