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논문

Trisections of surface complements and the Price twist

등록일자 :

https://doi.org/10.2140/agt.2020.20.343

  • 저자MAGGIE MILLER,김승원
  • 학술지Algebraic and Geometric Topology (1472-2739), 20, 343 ~ 373
  • 등재유형SCIE
  • 게재일자 20200223
Given a real projective plane S embedded in a 4?manifold X4 with Euler number 2 or ??2, the Price twist is a surgery operation on .S/ yielding (up to) three different 4?manifolds: X4 , S.X4/ and ?S.X4/. This is of particular interest when X4 D S4 ,as then ?S.X4/ is a homotopy 4?sphere which is not obviously diffeomorphic to S4 . Here we show how to produce a trisection deion of each Price twist on S  X4 by producing a relative trisection of X4 n .S/. Moreover, we show how to produce a trisection deion of general surface complements in 4?manifolds.

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