Homology groups of symmetric quandles and cocycle invariants of links and surface-links
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Publication:3053482
DOI10.1090/S0002-9947-2010-05131-1zbMath1220.57016arXiv0902.4277MaRDI QIDQ3053482
Publication date: 29 October 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.4277
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Related Items (19)
Tensor products of quandles and 1-handles attached to surface-links ⋮ Computations of quandle cocycle invariants of surface-links using marked graph diagrams ⋮ Surface-knots ⋮ SOME TOPOLOGICAL ASPECTS OF 4-FOLD SYMMETRIC QUANDLE INVARIANTS OF 3-MANIFOLDS ⋮ A homogeneous presentation of symmetric quandles ⋮ Surface-link families with arbitrarily large triple point number ⋮ SYMMETRIC QUANDLE COLORINGS FOR SPATIAL GRAPHS AND HANDLEBODY-LINKS ⋮ On the triple point number of surface-links in Yoshikawa’s table ⋮ Good involutions of generalized Alexander quandles ⋮ Surface links with free abelian groups ⋮ Unnamed Item ⋮ A \(G\)-family of quandles and handlebody-knots ⋮ Triple linking numbers and triple point numbers of certain \(T^2\)-links ⋮ Quandle identities and homology ⋮ HOMOLOGY GROUPS OF TRIVIAL QUANDLES WITH GOOD INVOLUTIONS AND TRIPLE LINKING NUMBERS OF SURFACE-LINKS ⋮ Symmetric enhancements of involutory virtual birack counting invariants ⋮ 4-fold symmetric quandle invariants of 3-manifolds ⋮ Triple point numbers of surface-links and symmetric quandle cocycle invariants ⋮ Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces
Cites Work
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- From racks to pointed Hopf algebras
- Triple point invariants of non-orientable surface-links
- The Betti numbers of some finite racks
- Some calculations of cohomology groups of finite Alexander quandles
- Trunks and classifying spaces
- Cocycle knot invariants from quandle modules and generalized quandle homology
- Wirtinger presentations for higher dimensional manifold knots obtained from diagrams
- HOMOLOGY GROUPS OF TRIVIAL QUANDLES WITH GOOD INVOLUTIONS AND TRIPLE LINKING NUMBERS OF SURFACE-LINKS
- The rack space
- RACKS AND LINKS IN CODIMENSION TWO
- Quandle cohomology and state-sum invariants of knotted curves and surfaces
- The 2-twist-spun trefoil has the triple point number four
- GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY
- CALCULATION OF DIHEDRAL QUANDLE COCYCLE INVARIANTS OF TWIST SPUN 2-BRIDGE KNOTS
- AN INFINITE FAMILY OF NON-INVERTIBLE SURFACES IN 4-SPACE
- A NOTE ON THE SHADOW COCYCLE INVARIANT OF A KNOT WITH A BASE POINT
- Quandle homology groups, their Betti numbers, and virtual knots
- A theorem of Sanderson on link bordisms in dimension \(4\)
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