# Algebraic Topology: The Abel Symposium 2007 by John C. Baez, Danny Stevenson (auth.), Nils Baas, Eric M.

By John C. Baez, Danny Stevenson (auth.), Nils Baas, Eric M. Friedlander, Björn Jahren, Paul Arne Østvær (eds.)

The 2007 Abel Symposium happened on the college of Oslo in August 2007. The objective of the symposium was once to collect mathematicians whose examine efforts have resulted in contemporary advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics. a standard topic of this symposium was once the advance of latest views and new structures with a express style. because the lectures on the symposium and the papers of this quantity exhibit, those views and buildings have enabled a broadening of vistas, a synergy among once-differentiated matters, and strategies to mathematical difficulties either outdated and new.

**Read or Download Algebraic Topology: The Abel Symposium 2007 PDF**

**Best geometry and topology books**

**The Geometry of Time (Physics Textbook)**

An outline of the geometry of space-time with the entire questions and matters defined with out the necessity for formulation. As such, the writer indicates that this can be certainly geometry, with real buildings commonly used from Euclidean geometry, and which enable particular demonstrations and proofs. The formal arithmetic at the back of those buildings is equipped within the appendices.

**The Hilton Symposium, 1993: Topics in Topology and Group Theory (Crm Proceedings and Lecture Notes)**

This quantity offers a cross-section of recent advancements in algebraic topology. the most element contains survey articles compatible for complex graduate scholars and pros pursuing examine during this quarter. a very good number of subject matters are coated, lots of that are of curiosity to researchers operating in different components of arithmetic.

- The theory of the imaginary in geometry
- Positivity of topological field theories in dimension at least 5
- ON THE PROBLEM OF PLATEAU.
- Geometrie der Raumzeit
- IntÃ©gration: Chapitres 7-8 (French Edition)

**Extra info for Algebraic Topology: The Abel Symposium 2007**

**Sample text**

Theorem 1 uses the HNN extension or the free product with amalgamation decomposition of the fundamental group associated to a simple element to compute in terms of a canonical form for the conjugacy class . Theorems 2–5 uses Combinatorial Group Theory and the presentation of the Goldman–Turaev Lie bialgebra given in [9]. Extending this algorithm and the Theorems 2–5 to closed surfaces is work in progress. The bracket and cobracket were defined as part of String Topology on the reduced circle equivariant homology of the free loop space of any manifold (generalizing ¼ ) (see the 2003 Abel Proceedings [10]).

L. Breen and W. Messing, Differential geometry of gerbes, Adv. Math. 198 (2005), 732–846. Available as arXiv:math/0106083. 9. K. S. Brown, Abstract homotopy theory and generalised sheaf cohomology, Trans. Amer. Math. Soc. 186 (1973), 419–458. 10. R. Brown and C. B. Spencer, G -groupoids, crossed modules, and the classifying space of a topological group, Proc. Kon. Akad. v. Wet. 79 (1976), 296–302. 11. -L. Brylinski, Loop Spaces, Characteristic Classes and Geometric Quantization, Birkhauser, Boston, 1993.

C. Baez, A. S. Crans, U. Schreiber and D. Stevenson, From loop groups to 2-groups, HHA 9 (2007), 101–135. Also available as arXiv:math/0504123. 3. J. C. Baez and A. Lauda, Higher-dimensional algebra V: 2-groups, Th. Appl. Cat. 12 (2004), 423–491. Also available as arXiv:math/0307200. 4. J. C. Baez and U. Schreiber, Higher gauge theory, in Categories in Algebra, Geometry and Mathematical Physics, eds. A. , Contemp. Math. 431, AMS, Providence, RI, 2007, pp. 7–30. Also available as arXiv:math/0511710.