Formal group laws and genera
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the <i>Hirzebruch genera</i> \cite{Hirzebruch1966}, one of the most | the <i>Hirzebruch genera</i> \cite{Hirzebruch1966}, one of the most | ||
important class of invariants of bordism classes of manifolds. | important class of invariants of bordism classes of manifolds. | ||
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| + | == Elements of the theory of formal group laws == | ||
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| + | == Formal group law of geometric cobordisms == | ||
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| + | == Hirzebruch genera == | ||
== References == | == References == | ||
Revision as of 19:01, 1 April 2010
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An earlier version of this page was published in the Bulletin of the Manifold Atlas: screen, print. You may view the version used for publication as of 09:29, 1 April 2011 and the changes since publication. |
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Contents |
1 Introduction
The theory of formal group laws, originally appeared in algebraic geometry, has been brought into the bordism theory in the pioneering work [Novikov1967]. The applications of formal group laws in algebraic topology are closely connected with the Hirzebruch genera [Hirzebruch1966], one of the most important class of invariants of bordism classes of manifolds.
2 Elements of the theory of formal group laws
3 Formal group law of geometric cobordisms
4 Hirzebruch genera
5 References
- [Hirzebruch1966] F. Hirzebruch, Topological methods in algebraic geometry, Springer-Verlag, New York, 1966. MR0202713 (34 #2573) Zbl 0843.14009
- [Novikov1967] S. P. Novikov, Methods of algebraic topology from the point of view of cobordism theory, Math. USSR, Izv. 1, (1967) 827–913. MR0221509 (36 #4561) Zbl 0176.52401
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