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TODA BRACKETS AND THE CATEGORY OF HOMOTOPY PAIRS

✍ Scribed by Hardie, K A; Jansen, A V

Book ID
118149998
Publisher
Taylor and Francis Group
Year
1983
Tongue
English
Weight
565 KB
Volume
6
Category
Article
ISSN
1607-3606

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πŸ“œ SIMILAR VOLUMES

The Toda bracket in the homotopy categor
The Toda bracket in the homotopy category of a track bicategory
✍ K.A. Hardie; K.H. Kamps; H.J. Marcum πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 235 KB

We show that the tertiary homotopy composition operation (quaternary Toda bracket) can, with the advantage of reduced indeterminacy, be replaced by a triple Toda bracket in a bicategory with zeros and invertible 2-morphisms. We deΓΏne the bracket via a pasting operation in such a category, recovering

The negative Toda hierarchy and rational
The negative Toda hierarchy and rational Poisson brackets
✍ Pantelis A. Damianou πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 135 KB

In this paper we extend the usual hierarchies for the finite, nonperiodic Toda lattice for negative values of the index. We define an infinite sequence of rational homogeneous Poisson brackets, master symmetries, invariants and investigate the various relationships between them. All the relations be