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Relative Differential K-theory

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2014

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
Let p : Y — X be a smooth map between two smooth compact manifolds. We define the relative differential K-theory group K*(p) and show that it fits into a six-term exact sequence. We define K*(p,R/Z), the K-theory of p with R/Z coefficients. It turns out that K*(p,R/Z) is isomorphic to the group of homomorphisms from the relative K-homology of p [8] to R/Z up to a degree-shift by one.
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REFERENCES

References: 

[1] P Baum and R G Douglas. K-homology and index theory. In Operator Algebras and Applications. Proceedings of the Symposium on Pure Mathematics, volume 38, pages 117-173, Kingston, Ontario, 1982. American Mathematical Society.
[2] M T Benameur and M Maghfoul. Differential characters in k-theory. Differential Geometry and its Applications, 24:417-432, 2006.
[3] U Bunke and T Schick. Smooth k-theory. Asterisque, 328:45-135, 2009.
[4] U Bunke and T Schick. Differential k-theory. a survey. In Global differential geometry, volume 17, pages 303-358. Springer, Heidelberg, 2012.
[5] D S Freed and M J Hopkins. On ramond-ramond fields and k-theory. Journal of High Energy Physics, 5(44), 2000.
[6] D S Freed and J Lott. An index theorem in differential k-theory. Geometry and Topology, 14:903-966, 2010.
[7] J Lott. R/z index theory. Communications in Analysis and Geometry, 2(2):279-311, 1994. [8] M Maghfoul. Relative differential k-characters. SIGMA, 4(35):10, 2008.
REFERENCES
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[9] J Simons and D Sullivan. Structured vector bundles define differential k-theory. In Quanta of maths, Clay Math. Proc., volume 11, pages 579-599. American Mathematical Society,
2010.

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