Free groups and finite-type invariants of pure braids

Jacob Mostovoy; Simon Willerton

doi:10.1017/S0305004101005333

Free groups and finite-type invariants of pure braids

Jacob Mostovoy, Simon Willerton

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper finite type invariants (also known as Vassiliev invariants) of pure braids are considered from a group-theoretic point of view. New results include a construction of a universal invariant with integer coefficients based on the Magnus expansion of a free group and a calculation of numbers of independent invariants of each type for all pure braid groups. © Cambridge Philosophical Society.

Original language	English
Pages (from-to)	117-130
Number of pages	14
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	132
Issue number	1
DOIs	https://doi.org/10.1017/S0305004101005333
Publication status	Published - 2002

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AB - In this paper finite type invariants (also known as Vassiliev invariants) of pure braids are considered from a group-theoretic point of view. New results include a construction of a universal invariant with integer coefficients based on the Magnus expansion of a free group and a calculation of numbers of independent invariants of each type for all pure braid groups. © Cambridge Philosophical Society.

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Free groups and finite-type invariants of pure braids

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