Formal group laws and genera
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== Introduction == | == Introduction == | ||
− | < | + | The theory of <i>formal group laws</i>, originally appeared in |
− | . | + | algebraic geometry, has been brought into the [[Bordism|bordism theory]] in |
− | </ | + | the pioneering work \cite{Novikov1967}. The applications of |
+ | formal group laws in algebraic topology are closely connected with | ||
+ | the <i>Hirzebruch genera</i> \cite{Hirzebruch1966}, one of the most | ||
+ | important class of invariants of bordism classes of manifolds. | ||
== References == | == References == |
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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 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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