Description

• Title:
  Spectral numbers and manifolds with boundary
• Creator:
  Katić, Jelena;
  Milinković, Darko;
  Nikolić, Jovana
• Description:
  We consider a smooth submanifold $N$ with a smooth boundary in an ambient closed manifold $M$ and assign a spectral invariant $c(\alpha,H)$ to every singular homological class $\alpha\in H_*(N)$ and a Hamiltonian $H$ defined on the cotangent bundle $T^*M$. We also derive certain properties of spectral numbers, for example we prove that spectral invariants $c_\pm(H,N)$ associated to the whole Floer homology $HF_*(H,N:M)$ of the submanifold $N$, are the limits of decreasing nested family of open sets.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.05.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 55, No 2 (June 2020); 617 - 653;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.108/25734 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.108/25735
• Subject:
  Spectral numbers;
  Floer homology;
  Lagrangian submanifolds;
  manifolds with boundary;
  Primary;
  53D40;
  Secondary;
  53D12;
  57R58;
  57R17
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.108
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other