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Differential Characters.pdf

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Preview of Differential Characters
🔗 Source: math.uni-hamburg.de
📊 Size: 115 KB
📄 Pages: 6 pages
⬇️ Downloads: 189

Summary

Differential characters are defined as elements in ˆHk(X, U(1)) = {h ∈ Hom(Zk−1(X; Z), U(1)), U(1) | ∃ω ∈ Ωk(X) : h(∂c) = exp(2πi ∫c ω)}. The talk aims to construct a fiber integration map π∗: ˆHk+f(E, U(1)) → ˆHk(X, U(1)) for a fiber bundle F → E → X with F compact and oriented. Geometric chains are introduced to represent singular homology by nicer spaces, and a wishlist for a geometric model is presented. The fiber integration map is defined, and its properties are discussed.

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Description

Differential characters are defined as elements in ˆHk(X, U(1)) = {h ∈ Hom(Zk−1(X; Z), U(1)), U(1) | ∃ω ∈ Ωk(X) : h(∂c) = exp(2πi ∫c ω)}.

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  • File Format: PDF
  • File Size: 115 KB
  • Pages: 6
  • Language: EN
  • Total Downloads: 189
  • Last Updated: 3 hours ago

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This PDF document about Differential Characters provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Differential Characters.

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