Configuration spaces and Vassiliev classes in any dimension
From MaRDI portal
Publication:1855200
DOI10.2140/agt.2002.2.949zbMath1029.57009arXivmath/9910139OpenAlexW3104658831MaRDI QIDQ1855200
Riccardo Longoni, Paolo Cotta-Ramusino, Alberto Sergio Cattaneo
Publication date: 2 June 2003
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9910139
configuration spaceVassiliev invariantgraph cohomologyChen's iterated integralspaces of imbeddings and immersions
Spaces of embeddings and immersions (58D10) de Rham theory in global analysis (58A12) Discriminantal varieties and configuration spaces in algebraic topology (55R80)
Related Items
Milnor invariants of string links, trivalent trees, and configuration space integrals ⋮ A homotopy-theoretic view of Bott-Taubes integrals and knot spaces ⋮ ON THE OTHER SIDE OF THE BIALGEBRA OF CHORD DIAGRAMS ⋮ Homotopy Bott-Taubes integrals and the Taylor tower for spaces of knots and links ⋮ A Kontsevich integral of order 1 ⋮ Configuration space integral for long \(n\)-knots and the Alexander polynomial ⋮ The rational homology of spaces of long knots in codimension \(> 2\) ⋮ The cohomology of the full directed graph complex ⋮ The Fox-Hatcher cycle and a Vassiliev invariant of order three ⋮ Knot invariants and new weight systems from general 3D TFTs ⋮ Context-free manifold calculus and the Fulton-MacPherson operad ⋮ Topological field theory interpretation of string topology ⋮ The Milnor triple linking number of string links by cut-and-paste topology ⋮ A geometric homology representative in the space of knots ⋮ ALGEBRAIC STRUCTURES ON GRAPH COHOMOLOGY ⋮ Nontrivalent graph cocycle and cohomology of the long knot space ⋮ Holonomy and parallel transport in the differential geometry of loop spaces and generalized gauge transformations ⋮ NONTRIVIAL CLASSES IN H*(Imb(S1,ℝn)) FROM NONTRIVALENT GRAPH COCYCLES ⋮ Homotopy graph-complex for configuration and knot spaces ⋮ Configuration space integrals and Taylor towers for spaces of knots ⋮ On the rational homology of high-dimensional analogues of spaces of long knots ⋮ CONFIGURATION SPACE INTEGRALS FOR EMBEDDING SPACES AND THE HAEFLIGER INVARIANT ⋮ On the homology of the space of knots ⋮ Configurations, braids, and homotopy groups ⋮ Formality of the little N-disks operad ⋮ Graph-complexes computing the rational homotopy of high dimensional analogues of spaces of long knots ⋮ Homology of spaces of regular loops in the sphere ⋮ On Kontsevich's characteristic classes for higher-dimensional sphere bundles II: Higher classes ⋮ Bott–Taubes–Vassiliev cohomology classes by cut-and-paste topology ⋮ A SURVEY OF BOTT–TAUBES INTEGRATION ⋮ Wilson surfaces and higher dimensional knot invariants ⋮ CONFIGURATION SPACE INTEGRALS AND THE COHOMOLOGY OF THE SPACE OF HOMOTOPY STRING LINKS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The classification of immersions of spheres in Euclidean spaces
- Differential forms on loop spaces and the cyclic bar complex
- Integral invariants of 3-manifolds
- Embeddings from the point of view of immersion theory. II
- A compactification of configuration spaces
- Vassiliev knot invariants and Chern-Simons perturbation theory to all orders
- Topological field theory interpretation of string topology
- Numerical knot invariants of finite type from Chern-Simons perturbation theory
- Loop observables for BF theories in any dimension and the cohomology of knots.
- Integral invariants of 3-manifolds. II.
- On the Vassiliev knot invariants
- Loop and path spaces and four-dimensional \(BF\) theories: connections, holonomies and observables
- The Chern-Simons theory and knot polynomials
- Deformation quantization of Poisson manifolds
- EXPLICIT FORMULATION OF A THIRD ORDER FINITE KNOT INVARIANT DERIVED FROM CHERN-SIMONS THEORY
- String Topology in Dimensions Two and Three
- Iterated path integrals
- On the self-linking of knots
- Topological BF theories in 3 and 4 dimensions
- PERTURBATIVE CHERN-SIMONS THEORY
- ALGEBRAIC STRUCTURES ON GRAPH COHOMOLOGY
- Loop spaces, characteristic classes and geometric quantization
- Recent developments in Chern-Simons theory and link invariants
- On the cohomology algebra of free loop spaces
- Higher-dimensional \(BF\) theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops
This page was built for publication: Configuration spaces and Vassiliev classes in any dimension