Geodesic
Complex cobordism and formal groups
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 67 (2012) no. 5, pp. 891-950

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This paper surveys the current state of the theory of cobordism, focusing on geometric and universal properties of complex cobordism, the Landweber–Novikov algebra, and the formal group law of geometric cobordisms. The relationships with $K$-theory, algebraic cycles, formal group laws, compact Lie group actions on manifolds, toric topology, infinite-dimensional Lie algebras, and nilmanifolds are described. The survey contains key results and open problems. Bibliography: 124 titles.
Keywords: Landweber–Novikov algebra, Adams operations, Chern–Dold character
Mots-clés : Atiyah–Hirzebruch spectral sequence, Hirzebruch genera. 
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     author = {V. M. Buchstaber},
     title = {Complex cobordism and formal groups},
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V. M. Buchstaber. Complex cobordism and formal groups. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 67 (2012) no. 5, pp. 891-950. http://geodesic.mathdoc.fr/item/RM_2012_67_5_a1/