Lecture Event
String structures
Dr. Corbett Redden
28 Jun 2012, 14:15 – 15:15
String structures are a higher analog of spin structures. In fact, a string structure on a finite-dimensional manifold induces a "spin structure" on the free loop space of the manifold. I will explain this fact, and we will see how they naturally arise when quantizing two-dimensional sigma models. Topologically, a string structure is a trivialization of a degree 4 characteristic class; trivializations in differential cohomology theories (e.g. Cheeger-Simons characters or Deligne cohomology) give useful geometric models for string structures.
Forschungsseminar Differentialgeometrie: http://geometrie.math.uni-potsdam.de/index.php/de/aktivitaeten/vortraege-fs-differentialgeometrie/494-tba
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