Inca Foams

Avishy Y. Carmi; Daniel Moskovich

doi:10.1142/S0218216517500055

Inca Foams

Avishy Y. Carmi, Daniel Moskovich

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

We study a certain class of embedded 2-foams that arise from gluing disks into ribbon torus knots along nonintersecting torus meridians. We exhibit several equivalent diagrammatic formalisms for these objects and identify several of their invariants, including a unique prime factorization.

Original language	English
Article number	1750005
Journal	Journal of Knot Theory and its Ramifications
Volume	26
Issue number	1
DOIs	https://doi.org/10.1142/S0218216517500055
State	Published - 1 Jan 2017

Keywords

Embedded complexes
Gauß diagrams
Roseman moves
diagrammatic algebra
prime factorization
topological invariants

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216517500055

Cite this

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title = "Inca Foams",

abstract = "We study a certain class of embedded 2-foams that arise from gluing disks into ribbon torus knots along nonintersecting torus meridians. We exhibit several equivalent diagrammatic formalisms for these objects and identify several of their invariants, including a unique prime factorization.",

keywords = "Embedded complexes, Gau{\ss} diagrams, Roseman moves, diagrammatic algebra, prime factorization, topological invariants",

author = "Carmi, {Avishy Y.} and Daniel Moskovich",

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KW - Embedded complexes

KW - Gauß diagrams

KW - Roseman moves

KW - diagrammatic algebra

KW - prime factorization

KW - topological invariants

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DO - 10.1142/S0218216517500055

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Inca Foams

Abstract

Keywords

ASJC Scopus subject areas

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