nLab John Milnor

John Willard Milnor

• personal page

• Wikipedia entry

• MathGenealogy page

Selected writings

See also the Collected Works of John Milnor [gBooks]

Introducing link groups:

• John Milnor: Link groups, Ann. of Math. 2 59 (1954) 177-195 [doi:10.2307/1969685, jstor:1969685, MR]

On universal principal bundles via the Milnor construction:

• John Milnor, Construction of Universal Bundles I, Ann. of Math. 63 2 (1956) 272-284 [jstor:1969609]

• John Milnor, Construction of Universal Bundles II, Ann. of Math. 63 3 (1956) 430-436 [jstor:1970012]

On exotic 7-spheres:

• John Milnor, On manifolds homeomorphic to the 7-sphere, Annals of Mathematics 64 (2): 399-405 (1956) (pdf, doi:10.1142/9789812836878_0001)

On Morse theory:

• John Milnor: Morse theory , Princeton University Press (1963) [ISBN:9780691080086, pdf]

On spin structures over manifolds:

• John Milnor: Spin Structures on Manifolds, L’Enseignement Mathématique 9 (1963) 198-203 [doi:10.5169/seals-38784, pdf]

On Hopf algebras:

• John Milnor, John Moore, On the structure of Hopf algebras, Annals of Math. 81 (1965), 211-264 (doi:10.2307/1970615, pdf)

On the cobordism ring:

• John Milnor, On the cobordism ring ­$\Omega^\bullet$ and a complex analogue, Amer. J. Math. 82 (1960), 505–521 (jstor:2372970)

Early discussion of knot concordance:

• Ralph H. Fox, John W. Milnor: Singularities of 2-spheres in 4-space and cobordism of knots, Osaka J. Math. 3 (1966) 257-267 [pdf, pdf, pdf]

On Whitehead torsion and classification of lens spaces:

• John Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966) 358–426 [doi:10:1090/S0002-9904-1966-11484-2, maths.ed.ac.uk, jstor:bams/1183527946]

On differential topology:

• John Milnor, Differential topology, chapter 6 in T. L. Saaty (ed.) Lectures On Modern Mathematic II 1964 (pdf)

• John Milnor, Topology from the differential viewpoint, Princeton University Press, 1997. (ISBN:9780691048338, pdf)

On bilinear forms:

• John Milnor, Dale Husemöller, Symmetric Bilinear Forms, Ergebnisse der Mathematik und ihrer Grenzgebiete 73, Springer (1973) [doi:10.1007/978-3-642-88330-9]

On characteristic classes:

• John Milnor, Jim Stasheff, Characteristic classes, Princeton Univ. Press (1974) (ISBN:9780691081229, doi:10.1515/9781400881826, pdf)

On invariant Riemannian metrics on (compact) Lie groups:

• John Milnor, Curvatures of left invariant metrics on Lie groups, Advances in Mathematics, Volume 21, Issue 3, September 1976, Pages 293-329 (doi:10.1016/S0001-8708(76)80002-3)

On infinite-dimensional Lie groups:

• John Milnor: Remarks on infinite-dimensional Lie Groups, in: Relativity, Groups, and Topology II, Proceedings of Les Houches Session XL (1983) 1007-1058 [pdf, inSpire:217235]

Related entries

• Pontrjagin ring

• good open cover

• Friedlander-Milnor isomorphism conjecture

• Kervaire-Milnor group

• Milnor K-theory

• Milnor algebra

• Milnor construction

• Milnor fiber

• Milnor mu-bar invariant

• Milnor slide trick

• Milnor's conjecture

• Milnor's theorem

• Milnor-Moore theorem

• Milnor-Quillen theorem on MU

• lim^1 and Milnor sequences

category: people