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      KCI등재 SCIE SCOPUS

      SYMPLECTIC 4-MANIFOLDS VIA SYMPLECTIC SURGERY ON COMPLEX SURFACE SINGULARITIES

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      https://www.riss.kr/link?id=A103360654

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      다국어 초록 (Multilingual Abstract)

      We examine a family of isolated complex surface singularities whose exceptional curves consist of two complex curves with high genera intersecting transversally. Topological data of smoothings of these singularities are determined. We use these computations to construct symplectic 4-manifolds by replacing neighborhoods of the exceptional curves with smoothings of the singularities.
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      We examine a family of isolated complex surface singularities whose exceptional curves consist of two complex curves with high genera intersecting transversally. Topological data of smoothings of these singularities are determined. We use these comput...

      We examine a family of isolated complex surface singularities whose exceptional curves consist of two complex curves with high genera intersecting transversally. Topological data of smoothings of these singularities are determined. We use these computations to construct symplectic 4-manifolds by replacing neighborhoods of the exceptional curves with smoothings of the singularities.

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      참고문헌 (Reference)

      1 A. Durfee, "The signature of smoothings of complex surface singularities" 232 (232): 85-98, 1978

      2 C. Taubes, "The Seiberg–Witten invariants and symplectic forms" 1 (1): 809-822, 1994

      3 D. Gay, "Symplectic surgeries and normal surface singularities" 9 (9): 2203-2223, 2009

      4 D. Gay, "Symplectic rational blow–down along Seifert fibered 3–manifolds" 2007 (2007): 20-, 2007

      5 M. Symington, "Symplectic rational blowdowns" 50 (50): 505-518, 1998

      6 J. McCarthy, "Symplectic normal connect sum" 33 (33): 729-764, 1994

      7 H. Park, "Smoothings of singularities and symplectic surgery" 12 (12): 585-597, 2014

      8 A. Stipsicz, "Simply connected symplectic 4-manifolds with positive signature" 23 (23): 145-150, 1999

      9 J. Park, "Seiberg–Witten invariants of generalised rational blow–downs" 56 (56): 363-384, 1997

      10 A. N´emethi, "Resolution graph of some surface singularities. I, Singularities in algebraic and analytic geometry (San Antonio, TX, 1999)" Amer. Math. Soc 266 : 89-128, 2000

      1 A. Durfee, "The signature of smoothings of complex surface singularities" 232 (232): 85-98, 1978

      2 C. Taubes, "The Seiberg–Witten invariants and symplectic forms" 1 (1): 809-822, 1994

      3 D. Gay, "Symplectic surgeries and normal surface singularities" 9 (9): 2203-2223, 2009

      4 D. Gay, "Symplectic rational blow–down along Seifert fibered 3–manifolds" 2007 (2007): 20-, 2007

      5 M. Symington, "Symplectic rational blowdowns" 50 (50): 505-518, 1998

      6 J. McCarthy, "Symplectic normal connect sum" 33 (33): 729-764, 1994

      7 H. Park, "Smoothings of singularities and symplectic surgery" 12 (12): 585-597, 2014

      8 A. Stipsicz, "Simply connected symplectic 4-manifolds with positive signature" 23 (23): 145-150, 1999

      9 J. Park, "Seiberg–Witten invariants of generalised rational blow–downs" 56 (56): 363-384, 1997

      10 A. N´emethi, "Resolution graph of some surface singularities. I, Singularities in algebraic and analytic geometry (San Antonio, TX, 1999)" Amer. Math. Soc 266 : 89-128, 2000

      11 R. Fintushel, "Rational blowdowns of smooth 4–manifolds" 46 (46): 181-235, 1997

      12 G. Greuel, "On the topology of smoothable singularities" Amer. Math. Soc 40 : 1983

      13 A. Melle-Hernandez, "Milnor numbers for surface singularities" 115 : 29-50, 2000

      14 M. Symington, "Generalized symplectic rational blowdowns" 1 : 503-518, 2001

      15 G. Megyesi, "Generalisation of the Bogomolov-Miyaoka-Yau inequality to singular sur-faces" 78 (78): 241-282, 1999

      16 C. LeBrun, "Four-dimensional Einstein manifolds, and beyond, Surveys in differential geometry: essays on Einstein manifolds" Int. Press 6 : 247-285, 1999

      17 A. N´emethi, "Five lectures on normal surface singularities, Low Dimensional Topology" J´anos Bolyai Math. Soc 8 : 269-351, 1999

      18 W. Barth, "Compact Complex Surfaces" Springer-Verlag 2004

      19 R. Gompf, "A new construction of symplectic manifolds" 142 (142): 527-595, 1995

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      학술지 이력
      연월일 이력구분 이력상세 등재구분
      2023 평가예정 해외DB학술지평가 신청대상 (해외등재 학술지 평가)
      2020-01-01 평가 등재학술지 유지 (해외등재 학술지 평가) KCI등재
      2010-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2008-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2006-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2004-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2001-07-01 평가 등재학술지 선정 (등재후보2차) KCI등재
      1999-01-01 평가 등재후보학술지 선정 (신규평가) KCI등재후보
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      학술지 인용정보

      학술지 인용정보
      기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
      2016 0.35 0.1 0.27
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.23 0.2 0.339 0.04
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