About: Milnor conjecture (topology)

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In knot theory, the Milnor conjecture says that the slice genus of the torus knot is It is in a similar vein to the Thom conjecture. It was first proved by gauge theoretic methods by Peter Kronheimer and Tomasz Mrowka. Jacob Rasmussen later gave a purely combinatorial proof using Khovanov homology, by means of the .

Attributes	Values
rdf:type	yago:WikicatConjectures yago:WikicatTheoremsInTopology yago:Abstraction100002137 yago:Cognition100023271 yago:Communication100033020 yago:Concept105835747 yago:Content105809192 yago:Hypothesis105888929 yago:Idea105833840 yago:Message106598915 yago:Proposition106750804 yago:PsychologicalFeature100023100 yago:Speculation105891783 yago:Statement106722453 yago:Theorem106752293
rdfs:label	Conjecture de Milnor (théorie des nœuds) (fr) Milnor conjecture (topology) (en) ミルナー予想 (トポロジー) (ja)
rdfs:comment	En théorie des nœuds, la conjecture de Milnor, aujourd'hui démontrée, affirme que le (en) du (en) est Il est dans une veine similaire à la (en). (fr) In knot theory, the Milnor conjecture says that the slice genus of the torus knot is It is in a similar vein to the Thom conjecture. It was first proved by gauge theoretic methods by Peter Kronheimer and Tomasz Mrowka. Jacob Rasmussen later gave a purely combinatorial proof using Khovanov homology, by means of the . (en) 結び目理論でのミルナー予想(Milnor conjecture)は、トーラス結び目の(slice genus)は、であるという予想である。この予想は、(Thom conjecture)と同じ流れにある。ミルナー予想は、最初にゲージ理論による方法で(Peter Kronheimer)と(Tomasz Mrowka)により証明された。ヤコブ・ラスムッセン(Jacob Rasmussen)は、後日、コバノフホモロジーを使い、(s-invariant)により、純粋に(combinatorial proof)を与えた。 (ja)
dcterms:subject	4-manifolds Geometric topology Knot theory Conjectures that have been proved
Wikipage page ID	9245509 (xsd:integer)
Wikipage revision ID	1068783428 (xsd:integer)
Link from a Wikipage to another Wikipage	Thom conjecture 4-manifolds Gauge theory Combinatorial proof Tomasz Mrowka K-theory Khovanov homology Knot theory Geometric topology Knot theory Conjectures that have been proved Torus knot Slice genus Peter Kronheimer dbr:S-invariant
sameAs	Milnor conjecture (topology) Milnor conjecture (topology) Milnor conjecture (topology) Milnor conjecture (topology) Milnor conjecture (topology) Milnor conjecture (topology)
dbp:wikiPageUsesTemplate	dbt:For dbt:Reflist dbt:Short_description dbt:Knottheory-stub
has abstract	En théorie des nœuds, la conjecture de Milnor, aujourd'hui démontrée, affirme que le (en) du (en) est Il est dans une veine similaire à la (en). (fr) In knot theory, the Milnor conjecture says that the slice genus of the torus knot is It is in a similar vein to the Thom conjecture. It was first proved by gauge theoretic methods by Peter Kronheimer and Tomasz Mrowka. Jacob Rasmussen later gave a purely combinatorial proof using Khovanov homology, by means of the . (en) 結び目理論でのミルナー予想(Milnor conjecture)は、トーラス結び目の(slice genus)は、であるという予想である。この予想は、(Thom conjecture)と同じ流れにある。ミルナー予想は、最初にゲージ理論による方法で(Peter Kronheimer)と(Tomasz Mrowka)により証明された。ヤコブ・ラスムッセン(Jacob Rasmussen)は、後日、コバノフホモロジーを使い、(s-invariant)により、純粋に(combinatorial proof)を与えた。 (ja)
prov:wasDerivedFrom	wikipedia-en:Milnor_conjecture_(topology)?oldid=1068783428&ns=0
page length (characters) of wiki page	1172 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Milnor_conjecture_(topology)
is Link from a Wikipage to another Wikipage of	List of knot theory topics Khovanov homology Slice genus List of things named after John Milnor
is foaf:primaryTopic of	wikipedia-en:Milnor_conjecture_(topology)

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