The algebraic topology of smooth algebraic varieties
نویسندگان
چکیده
منابع مشابه
Topology of Singular Algebraic Varieties
I will discuss recent progress by many people in the program of extending natural topological invariants from manifolds to singular spaces. Intersection homology theory and mixed Hodge theory are model examples of such invariants. The past 20 years have seen a series of new invariants, partly inspired by string theory, such as motivic integration and the elliptic genus of a singular variety. Th...
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A continuation of the previous talk: The Geometry of Formal Varieties in Algebraic Topology I. This time, we’ll discuss complex oriented cohomology theories in general, including the various pieces of Quillen’s theorem describing complex bordism and its relationship to the moduli stack of formal groups. Investigating specific features of this stack will give rise to descriptions of homology coo...
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Algebraic topology is full of computations with rings, and where we find rings we should seek geometry through methods of algebraic geometry. The geometry of formal varieties turn out to organize many interesting computations in topology, and certain formal varieties called commutative, one-dimensional formal groups give the best global picture of stable homotopy theory currently available. I w...
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ژورنال
عنوان ژورنال: Publications mathématiques de l'IHÉS
سال: 1986
ISSN: 0073-8301,1618-1913
DOI: 10.1007/bf02699195