By Ulrike Tillmann
This quantity covers the court cases of a world convention held in Oxford in June 2002. as well as articles coming up from the convention, the ebook additionally comprises the recognized as-yet-unpublished article through Graeme Segal at the Definition of Conformal box Theories. it truly is excellent as a view of the present cutting-edge and may entice confirmed researchers in addition to to amateur graduate scholars.
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Extra resources for Topology, Geometry and Quantum Field Theory: Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal
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In Algebraic K -theory (Proc. , 1976), pages 217–240. , Vol. 551. Springer, Berlin, 1976. [12] Hausmann, Jean-Claude and Pierre Vogel. The plus construction and lifting maps from manifolds. In Algebraic and Geometric Topology (Proc. Sympos. , Stanford, Calif, 1976), Part 1, Proc. Sympos. , XXXII, pages 67–76. Amer. Math. , 1978. [13] Hitchin, Nigel. Lectures on special Lagangian submanifolds. In Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA, 1999), volume 23 of AMS/IP Stud.
4]. Such spectra have finite Postnikov towers with layers that are induced from finite cell H Z-module spectra via the map ku → H Z, and so it is reasonable to expect that a generalized form of the d´evissage theorem in algebraic K-theory applies to identify K (C K U (ku)) with K (Z). 9. If there is a fiber sequence K (Z) → K (ku) → K (K U ) and K (Z) has telescopic complexity 1, at a prime p ≥ 5, then the algebraic K-theory spectrum K (K U ) of the periodic topological K -theory spectrum K U has the same telescopic complexity as K (ku), which is ≥ 2.
The abelian monoid of equivalence classes of virtual 2-vector bundles over X is the colimit colim 2-Vect(Y ) a : Y →X where a : Y → X ranges over the category of acyclic fibrations over X . Its Grothendieck group completion is isomorphic to the colimit colim Gr(2-Vect(Y )) . a : Y →X The functor Y → 2-Vect(Y ) factors through the homotopy category of acyclic fibrations over X , which is directed. The following result says that formal differences of virtual 2-vector bundles over X are the geometric objects that constitute cycles for the contravariant homotopy functor represented by the algebraic K -theory space K (V).