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In knot theory, the Milnor conjecture says that the slice genus of the ( p , q ) {\displaystyle (p,q)} torus knot is ( p − 1 ) ( q − 1 ) / 2. {\displaystyle...

Milnor conjecture may refer to: Milnor conjecture (K-theory) in algebraic K-theory Milnor conjecture (knot theory) in knot theory Milnor conjecture (Ricci...

In knot theory, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining the two...

Milnor conjecture (Vladimir Voevodsky, 2003) Kirillov's conjecture (Ehud Baruch, 2003) Kouchnirenko's conjecture (Bertrand Haas, 2002) n! conjecture (Mark...

In knot theory, a figure-eight knot (also called Listing's knot) is the unique knot with a crossing number of four. This makes it the knot with the third-smallest...

mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots. The equivalence...

In knot theory, an area of mathematics, the link group of a link is an analog of the knot group of a knot. They were described by John Milnor in his Ph...

Knot group Knot tabulation Knotless embedding Linkless embedding Link concordance Link group Link (knot theory) Milnor conjecture (topology) Milnor map...

mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together. A knot can be described...

In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies...

described separately in the paper (Kervaire & Milnor 1963), which was influential in the development of surgery theory. In fact, these calculations can be formulated...

Hyperbolic volume Hyperbolic Dehn surgery Thurston boundary Milnor–Thurston kneading theory Misiurewicz–Thurston points Nielsen–Thurston classification...

open case of the generalized Poincaré conjecture; see Gluck twists. The distinction is because surgery theory works in dimension 5 and above (in fact...

John Milnor: Barratt–Milnor sphere Fáry–Milnor theorem Milnor conjecture in algebraic K-theory Milnor conjecture in knot theory Milnor conjecture concerning...

knots which are not ribbon knots (′Slice-ribbon conjecture′). The conditions locally-flat or smooth are essential in the definition: For every knot we...

gauge theory and its cousins: Jacob Rasmussen's new proof of a theorem of Peter Kronheimer and Tomasz Mrowka, formerly known as the Milnor conjecture (see...

In knot theory, a branch of mathematics, a knot or link K {\displaystyle K} in the 3-dimensional sphere S 3 {\displaystyle S^{3}} is called fibered or...

mathematical theory of knots, a finite type invariant, or Vassiliev invariant (so named after Victor Anatolyevich Vassiliev), is a knot invariant that...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

in knot theory, a prime knot is a knot that is indecomposable in the sense that it cannot be written as the connected sum of two nontrivial knots. Any...