Daniel Quillen
نویسندگان
چکیده
منابع مشابه
Generalized André-quillen Cohomology
We explain how the approach of André and Quillen to defining cohomology and homology as suitable derived functors extends to generalized (co)homology theories, and how this identification may be used to study the relationship between them.
متن کاملQuillen Model Categories
We provide a brief description of the mathematics that led to Daniel Quillen’s introduction of model categories, a summary of his seminal work “Homotopical algebra”, and a brief description of some of the developments in the field since.
متن کاملQuillen Stratification for Modules
Let G be a finite group and k a fixed algebraically closed field of characteristic p>0 . If p is odd, let H(; be the subring of H*(G,k) consisting of elements of even degree; following [20-22] we take H~=H*(G,k) if p=2, though one could just as well use the subring of elements of even degree for all p. H a is a finitely generated commutative k-algebra [13], and we let Va denote its associated a...
متن کاملMathai-quillen Formalism
Characteristic classes play an essential role in the study of global properties of vector bundles. Particularly important is the Euler class of real orientable vector bundles. A de Rham representative of the Euler class (for tangent bundles) first appeared in Chern’s generalisation of the Gauss-Bonnet theorem to higher dimensions. The representative is the Pfaffian of the curvature, whose cohom...
متن کاملAlgebraic K theory after Quillen
The paper in which this so-called Q-construction occurs is essentially without mathematical precursors. Reading it for the first time is like landing on a new and friendly mathematical planet. One meets there not only new theorems and new methods, but new mathematical creatures and a complete paradigm of gestures for dealing with them. Higher algebraic K-theory is effectively built there from f...
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ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2012
ISSN: 0002-9920,1088-9477
DOI: 10.1090/noti903