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Augmented biracks and their homology

Acceso Abierto
ID Minciencias: ART-0001543244-3
Ranking: ART-ART_C

Abstract:

We introduce augmented biracks and define a (co)homology theory associated to augmented biracks. The new homology theory extends the previously studied Yang–Baxter homology with a combinatorial formulation for the boundary map and specializes to N-reduced rack homology when the birack is a rack. We introduce augmented birack 2-cocycle invariants of classical and virtual knots and links and provide examples.

Tópico:

Geometric and Algebraic Topology

Citaciones:

Citations: 28
28

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Información de la Fuente:

SCImago Journal & Country Rank
FuenteInternational Journal of Mathematics
Cuartil año de publicaciónNo disponible
Volumen25
Issue09
Páginas1450087 - 1450087
pISSNNo disponible
ISSN0129-167X

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Artículo de revista