Differential cohomology

By U. Bunke. 2012

54 citations recorded by the source corpus.

These course note first provide an introduction to secondary characteristic classes and differential cohomology. They continue with a presentation of a stable homotopy theoretic approach to the theory of differential extensions of generalized cohomology theories including products and Umkehr maps.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f2bdbdda124a93c88395414c309ff1c956432557

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Ho Tat Lam
2. Clay Córdova
3. D. Freed
4. N. Seiberg
5. U. Bunke
6. M. Völkl
7. T. Nikolaus

In Geometry and Topology

1. Clay Córdova
2. Ho Tat Lam
3. D. Freed
4. M. Völkl
5. T. Nikolaus
6. U. Bunke
7. N. Seiberg
8. E. Witten

In Mathematical Physics

1. N. Seiberg
2. Clay Córdova
3. U. Bunke
4. M. Völkl
5. T. Nikolaus
6. D. Freed
7. Ho Tat Lam
8. E. Witten

Citations in the corpus

• Anomalies in the space of coupling constants and their dynamical applications II (2019, background): “We remark that some of the earliest appearances of differential cohomology in physics, implicitly and explicitly, are [44, 45]; the mathematical theory is now highly developed; see [46–49] and the references therein.”
• Differential cohomology theories as sheaves of spectra (2013, background): “Differential refinements of this form have been throughly investigated in [7].”