Reidemeister torsion of product manifolds and its applications to quantum entanglement


Ozel C. , Sozen Y.

BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, cilt.17, ss.66-76, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 17 Konu: 2
  • Basım Tarihi: 2012
  • Dergi Adı: BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.66-76

Özet

Using symplectic chain complex, a formula for the Reidemeister torsion of product of oriented closed connected even dimensional manifolds is presented. In applications, the formula is applied to Riemann surfaces, Grassmannians, projective spaces and these results will be applied to manifolds of pure bipartite states with Schmidt ranks.