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Topics in Cohomological Studies of Algebraic Varieties

Impanga Lecture Notes

  • Piotr Pragacz

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-xxviii
  2. Anders Skovsted Buch
    Pages 87-103
  3. Ali Ulas Ozgur Kisisel
    Pages 135-161
  4. Piotr Pragacz
    Pages 163-174
  5. Marek Szyjewski
    Pages 203-270

About this book

Introduction

The articles in this volume study various cohomological aspects of algebraic varieties:
- characteristic classes of singular varieties;
- geometry of flag varieties;
- cohomological computations for homogeneous spaces;
- K-theory of algebraic varieties;
- quantum cohomology and Gromov-Witten theory.
The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned areas. It is adressed to researchers and graduate students in algebraic geometry, algebraic topology, and singularity theory, as well as to mathematicians interested in homogeneous varieties and symmetric functions. Most of the material exposed in the volume has not appeared in books before.
Contributors:
Paolo Aluffi
Michel Brion
Anders Skovsted Buch
Haibao Duan
Ali Ulas Ozgur Kisisel
Piotr Pragacz
Jörg Schürmann
Marek Szyjewski
Harry Tamvakis

Keywords

Algebraic topology Algebraic variety Characteristic class Cohomology theory K-theory algebraic varieties cohomology homology singularity theory

Editors and affiliations

  • Piotr Pragacz
    • 1
  1. 1.Institute of Mathematics of the Polish Academy of SciencesWarszawaPoland

Bibliographic information

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