대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제54권6호
  • /
  • Pages.1927-1933
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  • 2017
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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RATIONAL HOMOLOGY BALLS IN 2-HANDLEBODIES

  • Park, Heesang (Department of Mathematics Konkuk University) ;
  • Shin, Dongsoo (Department of Mathematics Chungnam National University)
  • 투고 : 2016.06.15
  • 심사 : 2017.09.04
  • 발행 : 2017.11.30
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초록

We prove that there are rational homology balls $B_p$ smoothly embedded in the 2-handlebodies associated to certain knots. Furthermore we show that, if we rationally blow up the 2-handlebody along the embedded rational homology ball $B_p$, then the resulting 4-manifold cannot be obtained just by a sequence of ordinary blow ups from the 2-handlebody under a certain mild condition.

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참고문헌

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