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Non-linear Finite Type Invariants
by
D. N. Yetter
Kansas State University
The framed analog of the Kontsevich integral considered by Le and Murakami,
used by Le, Murakami and Ohtsuki to construct finite-type invariants of 3-manifolds,
and subsequently shown by the speaker to arise from the universal extrinsic braided
deformation of the free (symmetric) compact closed category contains more
information than is sampled by any weight system.
We suggest compelling reasons for considering certain non-linear functions in place of weight systems.
Date received: February 4, 2005
Copyright © 2005 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # capo-15.