The braidings of mapping class groups and loop spaces

DOI10.2748/tmj/1178224614zbMath0974.57010OpenAlexW1984609211MaRDI QIDQ1587384

Yongjin Song

Publication date: 10 December 2001

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224614

zbMATH Keywords

braided categoryDehn twistsmapping class groupsReshetikhin-Turaev invariantsBrowder operation

Mathematics Subject Classification ID

Cites Work

• A simple presentation for the mapping class group of an orientable surface
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Braided tensor categories
• The homology of the mapping class group
• Invariants of 3-manifolds via link polynomials and quantum groups
• On Siegel's modular group
• The geometry of iterated loop spaces
• THE RESHETIKHIN-TURAEV REPRESENTATION OF THE MAPPING CLASS GROUP
• Quantum invariants of knots and 3-manifolds
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