1. The representation theorem of persistence revisited and generalized

   • René Corbet
   • Michael Kerber

   OriginalPaper Open access 09 July 2018 Pages: 1 - 31

   

2. Algorithms and complexity for Turaev–Viro invariants

   • Benjamin A. Burton
   • Clément Maria
   • Jonathan Spreer

   OriginalPaper 22 August 2018 Pages: 33 - 53

   

3. Persistent homology and Euler integral transforms

   • Robert Ghrist
   • Rachel Levanger
   • Huy Mai

   OriginalPaper 16 August 2018 Pages: 55 - 60

4. Inferring topology of quantum phase space

   • Leonid Polterovich

   OriginalPaper 26 September 2018 Pages: 61 - 82

5. Persistent homology and microlocal sheaf theory

   • Masaki Kashiwara
   • Pierre Schapira

   OriginalPaper 18 September 2018 Pages: 83 - 113

6. A functorial Dowker theorem and persistent homology of asymmetric networks

   • Samir Chowdhury
   • Facundo Mémoli

   OriginalPaper 12 September 2018 Pages: 115 - 175