Equivariant algebraic topology book pdf

Equivariant stable homotopy theory with lewis, steinberger, and with contributions by mcclure a brief guide to some addenda and errata pdf american mathematical society memoirs and asterisque at ams memoirs 142. Global equivariant homotopy theory studies such uniform phenomena, i. While the major portion of this book is devoted to algebraic. Introduction to equivariant cohomology in algebraic geometry. The exposition is somewhat informal, with no theorems or proofs until the last couple pages, and it should be read in this informal spirit, skipping bits here and there. The canonical homomorphisms of topological g spaces are g equivariant continuous functions, and the canonical choice. Elements of algebraic topology, advanced book program.

The final prices may differ from the prices shown due to specifics of vat rules. The book begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the sullivan conjecture that emphasizes its. Equivariant algebraic topology applied to some problems in topological combinatorics abstract. Kvect gx is known as equivariant topological ktheory.

It explains the main ideas behind some of the most striking recent advances in the subject. Wolfgang lucks homepage publications hausdorff institute. There is a progression, with the later portions of the book on the whole being more di cult than the earlier portions. Equivariant algebraic topology applied to some problems in. The story is that in the galleys for the book they left a blank space whenever the word. The book includes many explicit examples and detailed calculations. This is called algebraic ktheory if we wish to generalize this last example to the equivariant setting, we have to be. Handbook of algebraic topology school of mathematics.

Since algebraic topology is still developing rapidly any attempt to cover the whole subject would soon be. Equivariant topology of configuration spaces, blagojevic, p. This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. Articles, preprints, survey articles, books, slides of talks and presentations. Anna marie bohmann, kristen mazur, angelica osorno, viktoriya ozornova, kate ponto, and carolyn yarnall. Equivariant homotopy and cohomology theory ebok j p. Introduced by borel in the late 1950s, equivariant cohomology encodes information about how the topology of a space interacts with a group action.

Pdf on the equivariant cohomology algebra for solenoidal. Pin2equivariant seibergwitten floer homology and the triangulation conjecture. Analysis iii, lecture notes, university of regensburg 2016. Ems textbooks in mathematics is a book series aimed at students or. The second aspect of algebraic topology, homotopy theory, begins again with the. Raoul botts collected papers, books on differential geometry, equivariant cohomology loring tu i have just finished two projectsvol. Can do all of algebraic topology of gspaces with gcategories a gposet partially ordered set is a gcategory with at most one morphism, denoted x y, between any two objects. Gx, the category of gequivariant vector bundles on a topological space x. On the equivariant cohomology algebra for solenoidal actions article pdf available in turkish journal of mathematics 386. C cohx, the category of coherent sheaves on an algebraic variety x. Equivariant homotopy theory is homotopy theory for the case that a group g acts on all the topological spaces or other objects involved, hence the homotopy theory of topological gspaces. The combinatorial problems are related to known problems as the.