Description

• Title:
  Alternating Heegaard diagrams and Williams solenoid attractors in $3$-manifolds
• Creator:
  Wang, Chao;
  Zhang, Yimu
• Description:
  We find all Heegaard diagrams with the property ``alternating'' or ``weakly alternating'' on a genus two orientable closed surface. Using these diagrams we give infinitely many genus two $3$-manifolds, each admits an automorphism whose non-wandering set consists of two Williams solenoids, one attractor and one repeller. These manifolds contain half of Prism manifolds, Poincaré's homology $3$-sphere and many other Seifert manifolds, all integer Dehn surgeries on the figure eight knot, also many connected sums. The result shows that many kinds of $3$-manifolds admit a kind of ``translation'' with certain stability.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 47, No 2 (June 2016); 769 - 798;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.033/8188 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.033/8189
• Subject:
  Heegaard diagram;
  solenoid attractor;
  Prism manifold;
  Poincaré's homology $3$-sphere;
  figure eight knot;
  Primary 57N10;
  37C70;
  37D45;
  Secondary 57M12l
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.033
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other