nLab Peter Landweber

Peter Steven Landweber

• institute page

• Wikipedia entry

• MathGenealogy page

Selected writings

On Steenrod representability (of cycles in homology by manifolds):

• Peter S. Landweber: Steenrod representability of stable homology, Proc. Amer. Math. Soc. 18 (1967) 523-529 [doi:10.1090/S0002-9939-1967-0229241-4, doi:10.2307/2035491, pdf]

The Landweber exact functor theorem:

• Peter Landweber, Homological properties of comodules over $MU^\ast(MU)$ and $BP^\ast(BP)$, American Journal of Mathematics (1976): 591-610 (jstor:2373808)

On bordism homology theory/cobordism cohomology theory:

• Peter Landweber: A survey of bordism and cobordism, Mathematical Proceedings of the Cambridge Philosophical Society, 100 2 (1986) 207-223 [doi:10.1017/S0305004100066032]

Introducing elliptic cohomology:

• Peter Landweber, Elliptic Cohomology and Modular Forms, in: Elliptic Curves and Modular Forms in Algebraic Topology, Lecture Notes in Mathematics 1326 (1988) 55-68 [doi:10.1007/BFb0078038]

  (see also modular forms)

• Peter Landweber, Douglas Ravenel, Robert Stong, Periodic cohomology theories defined by elliptic curves, in Haynes Miller et al (eds.), The Cech centennial: A conference on homotopy theory, June 1993, AMS (1995) (pdf)

• Peter Landweber, Elliptic genera: An introductory overview In: P. Landweber (eds.) Elliptic Curves and Modular Forms in Algebraic Topology, Lecture Notes in Mathematics, vol 1326. Springer (1988) (doi:10.1007/BFb0078036)

Related entries

• Landweber exact functor theorem

• elliptic genus

category: people