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Paper   IPM / Physic / 7104
School of Physics
  Title:   Topological Aspects of Parasupersymmetry
  Author(s):  A. Mostafazadeh
  Status:   Preprint
  No.:  0
  Year:  1995
  Supported by:  IPM
Parasupersymmetric quantum mechanics is exploited to introduce a topological invariant associated with a pair of parameter dependent Fredholm (respectively elliptic differential) operators satisfying two compatibility conditions. An explicit algebraic expression for this topological invariant is provided. The latter identifies the parasupersymmetric topological invariant with the sum of the analytic (Atiyah-Singer) indices of the corresponding operators.

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