Non–commutative Multivariable Reidemeister Torsion and the Thurston Norm

نویسندگان

  • STEFAN FRIEDL
  • SHELLY HARVEY
چکیده

Given a 3–manifold the second author defined functions δn : H (M ;Z) → N, generalizing McMullen’s Alexander norm, which give lower bounds on the Thurston norm. We reformulate these invariants in terms of Reidemeister torsion over a non– commutative multivariable Laurent polynomial ring. This allows us to show that these functions are semi-norms.

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تاریخ انتشار 2006