NONTRIVIAL CLASSES IN H*(Imb(S1,ℝn)) FROM NONTRIVALENT GRAPH COCYCLES

DOI10.1142/S0219887804000320zbMath1069.81037arXivmath/0404196OpenAlexW1981320590MaRDI QIDQ4657761

Riccardo Longoni

Publication date: 14 March 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404196

zbMATH Keywords

knotsBF TheoriesGraph cohomology

Mathematics Subject Classification ID

Applications of graph theory (05C90) Planar graphs; geometric and topological aspects of graph theory (05C10) Discriminantal varieties and configuration spaces in algebraic topology (55R80)

Related Items

A Kontsevich integral of order 1, A geometric homology representative in the space of knots, Nontrivalent graph cocycle and cohomology of the long knot space, Configuration space integrals and Taylor towers for spaces of knots, Rational homology and homotopy of high-dimensional string links, CONFIGURATION SPACE INTEGRALS FOR EMBEDDING SPACES AND THE HAEFLIGER INVARIANT, Bott–Taubes–Vassiliev cohomology classes by cut-and-paste topology, CONFIGURATION SPACE INTEGRALS AND THE COHOMOLOGY OF THE SPACE OF HOMOTOPY STRING LINKS, Deloopings of the spaces of long embeddings

Cites Work

• Loop observables for BF theories in any dimension and the cohomology of knots.
• On the Vassiliev knot invariants
• Configuration spaces and Vassiliev classes in any dimension
• On the self-linking of knots
• Higher-dimensional \(BF\) theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops