Braid commutators and homogenous Campbell–Hausdorff tests
نویسندگان
چکیده
منابع مشابه
Braid Commutators and Homogenous Campbell-hausdorff Tests
We develop our general machinery of the Campbell-Hausdorff invariants of links, in the case of pure links, with emphasis on the connections with the lower central series of the pure braid groups. We present a complete simple set of rules for the Artin calculus of longitudes modulo the central series. We prove that if two pure links differ by an order k pure braid commutator, then their order k ...
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Delta finite-type invariants are defined analogously to finite-type invariants, using delta moves instead of crossing changes. We show that they are closely related to the lower central series of the commutator subgroup of the pure braid group. 0. INTRODUCTION We consider in this paper delta finite-type invariants of knots and links (∆FT invari-ants). In the case of links, these are the same in...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2001
ISSN: 0030-8730
DOI: 10.2140/pjm.2001.197.383