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The Norm Residue Theorem in Motivic Cohomology

. Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered;

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The Norm Residue Theorem in Motivic Cohomology

. Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered;

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Mixed Motives

This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit;

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Transcendental Aspects of Algebraic Cycles

)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. Among the topics treated are: cycle spaces, Chow topology;

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Central Simple Algebras and Galois Cohomology

, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid;

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Central Simple Algebras and Galois Cohomology

, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid;

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The Bloch-Kato Conjecture for the Riemann Zeta Function

Tamagawa number-type conjecture for these values, and showed that it would follow from a result in motivic cohomology which was unknown at the time;

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Lecture Notes on Motivic Cohomology

suffices for the development of a satisfactory Motivic Cohomology theory. However, the existence of motives themselves remains conjectural. The;

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Cycles, Transfers, and Motivic Homology Theories. (AM-143), Volume 143

The original goal that ultimately led to this volume was the construction of motivic cohomology theory, whose existence was conjectured;

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Stable Stems

over $mathbb C$. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over $mathbb C$ through the 70;

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Local Cohomology

-affine and quasi-projective varieties. Topics covered include Serre's Affineness Criterion, the Lichtenbaum-Hartshorne Vanishing Theorem;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

proofs are the simplest. One of the most useful applications of equivariant cohomology is the equivariant localization theorem of Atiyah-Bott and;

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Introductory Lectures on Equivariant Cohomology: (Ams-204)

proofs are the simplest. One of the most useful applications of equivariant cohomology is the equivariant localization theorem of Atiyah-Bott and;

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Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions

-functions. A cohomological interpretation of this theorem in terms of maps in Eisenstein cohomology allows the authors to study the rationality;

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Eisenstein Cohomology for GLN and the Special Va (AMS203)

-functions. A cohomological interpretation of this theorem in terms of maps in Eisenstein cohomology allows the authors to study the rationality;

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From Calculus to Cohomology

De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory;

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Variations on a Theorem of Tate

sense of Fontaine-Mazur). On the motivic side, the author studies refinements and generalizations of the classical Kuga-Satake construction;

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K-Theory

, motivic cohomology, motivic homotopy theory, Chow groups of varieties, Euler class theory, equivariant $K$-theory as well as classical $K$-theory;

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Many Variations of Mahler Measures

presents the modern definition of motivic cohomology and regulator maps, as well as Deligne-Beilinson cohomology. The text includes many exercises;

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Hamiltonian Group Actions and Equivariant Cohomology

a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem;

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A First Course on Complex Functions

formula and the residue theorem. On the theoretical side, this includes the basic core of the theory of differentiable complex functions, a theory;

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Foundations of Differentiable Manifolds and Lie Groups

integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic;

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Triangulated Categories of Mixed Motives

etale cohomology and Ayoub's solution to Voevodsky's cross functors theory. We also thoroughly develop the theory of motivic complexes with;

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Mod Two Homology and Cohomology

fixed point theorem, Poincare duality, Borsuk-Ulam theorem, Hopf invariant, Smith theory, Kervaire invariant, etc. The cohomology of flag;

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Elements Of Algebraic Topology

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory;

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Elements Of Algebraic Topology

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory;

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Gesammelte Abhandlungen - Collected Papers I

classical Riemann-Roch theorem to higher dimensional complex manifolds, now known as the Hirzebruch-Riemann-Roch theorem. This used the new;

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