Algebraic Topology: Applications and New Directions (Google eBook)

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Ulrike Tillmann, Søren Galatius, Dev Sinha
American Mathematical Soc., Jul 14, 2014 - Mathematics - 328 pages
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This volume contains the proceedings of the Stanford Symposium on Algebraic Topology: Applications and New Directions, held from July 23-27, 2012, at Stanford University, Stanford, California. The symposium was held in honor of Gunnar Carlsson, Ralph Cohen and Ib Madsen, who celebrated their 60th and 70th birthdays that year. It showcased current research in Algebraic Topology reflecting the celebrants' broad interests and profound influence on the subject.

The topics varied broadly from stable equivariant homotopy theory to persistent homology and application in data analysis, covering topological aspects of quantum physics such as string topology and geometric quantization, examining homology stability in algebraic and geometric contexts, including algebraic img style="width:15px;height:11px" src="http://cdn.mathjax.org/mathjax/latest/fonts/HTML-CSS/TeX/png/Math/Italic/120/004B.png?rev=2.4-beta-2" -theory and the theory of operads.

  

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Contents

Representation stability in cohomology and asymptotics for families of varieties over finite fields
1
A stability conjecture for the unstable cohomology of _ ℤ mapping class groups and _
55
The BoardmanVogt tensor product of operadic bimodules
71
Detecting and realising characteristic classes of manifold bundles
99
Controlled Algebraic theory II
111
More examples of discrete cocompact group actions
133
On the theory of planar cuspical curves and a new family of polytopes
145
Equivariant multiplicative closure
183
a survey
201
The definition of a noncommutative toric variety
223
The Stable Symplectic Category and Quantization
251
A geometric perspective on quantum field theory
281
a survey of persistent homology and its algebraic foundations
295
Cartiers first theorem for Witt vectors on ℤ_0ⁿ0
321
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