Graphs, foams, tensors, polytopes, and homology

DOI10.1142/S0218216518430150zbMath1450.57003WikidataQ114072901 ScholiaQ114072901MaRDI QIDQ4692250

J. Scott Carter

Publication date: 26 October 2018

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

zbMATH Keywords

polytopesgraphsfoamsquandlesself-distributiveabstract tensorsqualgebras

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Relations of low-dimensional topology with graph theory (57M15) Multilinear algebra, tensor calculus (15A69) Other homology theories in algebraic topology (55N35) Other nonassociative rings and algebras (17D99) Other generalizations of groups (20N99) Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Higher-dimensional knots and links (57K45)

Uses Software

• Globular

Cites Work

• Homology for quandles with partial group operations
• A classifying invariant of knots, the knot quandle
• Braided systems: a unified treatment of algebraic structures with several operations
• Globular: an online proof assistant for higher-dimensional rewriting
• The rack space
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• Qualgebras and knotted 3-valent graphs
• Reidemeister/Roseman-Type Moves to Embedded Foams in 4-Dimensional Space
• Quantum invariants of knots and 3-manifolds
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