본문 바로가기
KERD
논문KCI 등재

LENS SPACES ADMITTING MINIMAL SYMPLECTIC FILLINGS WITH THE SECOND BETTI NUMBER ONE

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

We classify lens spaces with the Milnor fillable contact structure that admit minimal symplectic fillings whose second Betti numbers are one.

Abstract

We classify lens spaces with the Milnor fillable contact structure that admit minimal symplectic fillings whose second Betti numbers are one.

참고문헌 (10)

  1. K. Behnke, "M-resolutions and deformations of quotient surface singularities", Amer. J. Math, 116(4), pp.881~903 (1994)
  2. R. Fintushel, "Rational blowdowns of smooth 4-manifolds", J. Differential Geom, 46(2), pp.181~235 (1997)
  3. R. Hacking, "Flipping surfaces", J. Algebraic Geom, 26(2), pp.279~345 (2017)
  4. J. Kollar, "Threefolds and deformations of surface singularities", Invent. Math, 91(2), pp.299~338 (1988)
  5. Paolo Lisca, "On symplectic fillings of lens spaces", Transactions of the American Mathematical Society, 360(2), pp.765~799 (2007), American Mathematical Society (AMS)[DOI]
  6. A. Nemethi, "On the Milnor fibres of cyclic quotient singularities", Proc. Lond. Math. Soc, 101(2), pp.554~588 (2010)
  7. Jongil Park, "Seiberg-Witten invariants of generalised rational blow-downs", Bulletin of the Australian Mathematical Society, 56(3), pp.363~384 (1997), Cambridge University Press (CUP)[DOI]
  8. H. Park, "Milnor fibers and symplectic fillings of quotient surface singularities", Adv. Math, 329, pp.1156~1230 (2018)
  9. Margaret Symington, "Generalized symplectic rational blowdowns", Algebraic & Geometric Topology, 1(1), pp.503~518 (2001), Mathematical Sciences Publishers[DOI]
  10. G. Urzua, "On wormholes in the moduli space of surfaces", arXiv:2102.02177, ~

관련 논문AI추천

이 간행물의 다른 논문 (17건)