Specify search criterion:
(select invariant) Alexander Polynomial
Algebraic Concordance Order
Alternating
Arc Index
Arf Invariant
Braid Index
Braid Length
Bridge Index
Chern-Simons Invariant
Crosscap Number
Crossing Number
Determinant
Fibered
Full Symmetry Group
Longitude Length
Longitude Translation
Maximum Cusp Volume
Meridian Length
Meridian Translation
Morse-Novikov Number
Nakanishi Index
Name Rank
Other Short Geodesics
Ozsvath-Szabo Tau-Invariant
Polygon Index
Positive
Positive Braid
Quasipositive
Rasmussen Invariant
Ribbon
Signature
Smooth 4D Crosscap Number
Smooth Concordance Crosscap Number
Smooth Concordance Genus
Smooth Concordance Order
Smooth Four Genus
Strongly Quasipositive
Super Bridge Index
Symmetry Type
Three Genus
Thurston-Bennequin Number
Topological 4D Crosscap Number
Topological Concordance Crosscap
Number
Topological Concordance Genus
Topological Concordance Order
Topological Four Genus
Tunnel Number
Turaev Genus
Unknotting Number
Volume
Width
=
<
>
≠
and
or
(select invariant) Alexander Polynomial
Algebraic Concordance Order
Alternating
Arc Index
Arf Invariant
Braid Index
Braid Length
Bridge Index
Chern-Simons Invariant
Crosscap Number
Crossing Number
Determinant
Fibered
Full Symmetry Group
Longitude Length
Longitude Translation
Maximum Cusp Volume
Meridian Length
Meridian Translation
Morse-Novikov Number
Nakanishi Index
Name Rank
Other Short Geodesics
Ozsvath-Szabo Tau-Invariant
Polygon Index
Positive
Positive Braid
Quasipositive
Rasmussen Invariant
Ribbon
Signature
Smooth 4D Crosscap Number
Smooth Concordance Crosscap Number
Smooth Concordance Genus
Smooth Concordance Order
Smooth Four Genus
Strongly Quasipositive
Super Bridge Index
Symmetry Type
Three Genus
Thurston-Bennequin Number
Topological 4D Crosscap Number
Topological Concordance Crosscap
Number
Topological Concordance Genus
Topological Concordance Order
Topological Four Genus
Tunnel Number
Turaev Genus
Unknotting Number
Volume
Width
=
<
>
≠
and
or
(select invariant) Alexander Polynomial
Algebraic Concordance Order
Alternating
Arc Index
Arf Invariant
Braid Index
Braid Length
Bridge Index
Chern-Simons Invariant
Crosscap Number
Crossing Number
Determinant
Fibered
Full Symmetry Group
Longitude Length
Longitude Translation
Maximum Cusp Volume
Meridian Length
Meridian Translation
Morse-Novikov Number
Nakanishi Index
Name Rank
Other Short Geodesics
Ozsvath-Szabo Tau-Invariant
Polygon Index
Positive
Positive Braid
Quasipositive
Rasmussen Invariant
Ribbon
Signature
Smooth 4D Crosscap Number
Smooth Concordance Crosscap Number
Smooth Concordance Genus
Smooth Concordance Order
Smooth Four Genus
Strongly Quasipositive
Super Bridge Index
Symmetry Type
Three Genus
Thurston-Bennequin Number
Topological 4D Crosscap Number
Topological Concordance Crosscap
Number
Topological Concordance Genus
Topological Concordance Order
Topological Four Genus
Tunnel Number
Turaev Genus
Unknotting Number
Volume
Width
=
<
>
≠
and
or
(select invariant) Alexander Polynomial
Algebraic Concordance Order
Alternating
Arc Index
Arf Invariant
Braid Index
Braid Length
Bridge Index
Chern-Simons Invariant
Crosscap Number
Crossing Number
Determinant
Fibered
Full Symmetry Group
Longitude Length
Longitude Translation
Maximum Cusp Volume
Meridian Length
Meridian Translation
Morse-Novikov Number
Nakanishi Index
Name Rank
Other Short Geodesics
Ozsvath-Szabo Tau-Invariant
Polygon Index
Positive
Positive Braid
Quasipositive
Rasmussen Invariant
Ribbon
Signature
Smooth 4D Crosscap Number
Smooth Concordance Crosscap Number
Smooth Concordance Genus
Smooth Concordance Order
Smooth Four Genus
Strongly Quasipositive
Super Bridge Index
Symmetry Type
Three Genus
Thurston-Bennequin Number
Topological 4D Crosscap Number
Topological Concordance Crosscap
Number
Topological Concordance Genus
Topological Concordance Order
Topological Four Genus
Tunnel Number
Turaev Genus
Unknotting Number
Volume
Width
=
<
>
≠
and
or
(select invariant) Alexander Polynomial
Algebraic Concordance Order
Alternating
Arc Index
Arf Invariant
Braid Index
Braid Length
Bridge Index
Chern-Simons Invariant
Crosscap Number
Crossing Number
Determinant
Fibered
Full Symmetry Group
Longitude Length
Longitude Translation
Maximum Cusp Volume
Meridian Length
Meridian Translation
Morse-Novikov Number
Nakanishi Index
Name Rank
Other Short Geodesics
Ozsvath-Szabo Tau-Invariant
Polygon Index
Positive
Positive Braid
Quasipositive
Rasmussen Invariant
Ribbon
Signature
Smooth 4D Crosscap Number
Smooth Concordance Crosscap Number
Smooth Concordance Genus
Smooth Concordance Order
Smooth Four Genus
Strongly Quasipositive
Super Bridge Index
Symmetry Type
Three Genus
Thurston-Bennequin Number
Topological 4D Crosscap Number
Topological Concordance Crosscap
Number
Topological Concordance Genus
Topological Concordance Order
Topological Four Genus
Tunnel Number
Turaev Genus
Unknotting Number
Volume
Width
=
<
>
≠
and
or
KnotInfo was created and is maintained by Chuck Livingston with the
assistance of Jae Choon Cha. Please send your comments to Chuck
Livingston: livingst@indiana.edu. Knotinfo is partially supported by
Indiana University and by the NSF. Privacy Notice

Charles Livingston
Department of Mathematics
Indiana University
Bloomington, IN 47405, U.S.A.
Jae Choon Cha
Department of Mathematics
POSTECH
Pohang Gyungbuk 790-784, Republic of Korea