Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (6): 2437-2449.doi: 10.1007/s10473-022-0612-z

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Ruifeng QIU, Yanqing ZOU   

  1. School of Mathematical Sciences & Shanghai Key Laboratory of PMMP East China Normal University, Shanghai 200241, China
  • Received:2022-07-18 Online:2022-12-25 Published:2022-12-16
  • Contact: Ruifeng QIU, E-mail: E-mail:Ruifeng QIU,
  • Supported by:
    This work was partially supported by Science and Technology Commission of Shanghai Municipality (STCSM), (18dz2271000) and NSFC (12131009).

Abstract: A Heegaard splitting is a type of combinatorial structure on an orientable compact 3-manifold. We will give a survey on Heegaard spliting and its applications, including those pertaining to the classification and stabilization problem, reducibilities, minimal Heegaard splitting and Heegaard distance.

Key words: stabilization, Heegaard genus, Heegaard distance

CLC Number: 

  • 57M50