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Nonabelian Algebraic Topology

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arxiv math/0407275 v2 pith:SWP6NC5O submitted 2004-07-15 math.AT math.CT

Ronald Brown This is my paper · ORCID
classification math.ATmath.CT
keywords algebraictopologynonabelianaccountappliesbackgroundbookbrown
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This talk gave a sketch of the contents and background to a book with the title `Nonabelian algebraic topology' being written under support of a Leverhulme Emeritus Fellowship (2002-2004) by the speaker and Rafael Sivera (Valencia). The aim is to give in one place a full account of work by R. Brown and P.J. Higgins since the 1970s which defines and applies crossed complexes and cubical higher homotopy groupoids in algebraic topology and group cohomology.

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  1. Entanglement Spectrum Resolved by Loop Symmetries

    quant-ph 2025-10 conditional novelty 7.0 of 10

    Loop-symmetric many-body states have reduced density matrices that decompose into topological and geometric blocks computable from the Seifert–van Kampen theorem, giving exact entanglement spectra for Kitaev quantum d...

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