Combinatorial computation of combinatorial formulas for knot invariants

DOI10.1090/S0077-1554-05-00148-2zbMath1270.57053OpenAlexW1799536390MaRDI QIDQ2841123

Victor A. Vassiliev

Publication date: 24 July 2013

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0077-1554-05-00148-2

zbMATH Keywords

spectral sequenceknotinvariantdiscriminantcombinatorial algorithmsimplicial resolutioncombinatorial formulasubalgebraic chain

Mathematics Subject Classification ID

Cites Work

• New perspectives on self-linking
• Homotopy types of subspace arrangements via diagrams of spaces
• On the Vassiliev invariants of degree \(\leq 3\)
• Finite-type invariants of classical and virtual knots
• On formulas of Lannes and Viro-Polyak type for invariants of finite order
• On the Vassiliev knot invariants
• Virtual knot theory
• Segment-arrow diagrams and invariants of ornaments
• Topology of plane arrangements and their complements
• On combinatorial formulas for cohomology of spaces of knots
• Complexes of connected graphs
• Homology of spaces of knots in any dimensions
• Vassiliev invariants classify plane curves and doodles
• New points of view in knot theory
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