nLab Ulrich Bunke

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Selected writings

On twisted ad-equivariant K-theory via differentiable stacks:

• Ulrich Bunke, Ingo Schroeder, Twisted K-Theory and TQFT (arXiv:math/0504458, spire:681555)

On differential cohomology:

• Ulrich Bunke, Differential cohomology (arXiv:1208.3961)

On differential K-theory:

• Ulrich Bunke, Thomas Schick, Smooth K-Theory, Astérisque 328 (2009), 45-135 (arXiv:0707.0046, numdam:AST_2009__328__45_0)

On differential cohomology and the e-invariant:

• Ulrich Bunke, Section 2 of: Differential cohomology in geometry and analysis, talk 2008 (pdf, pdf)

On the differential cohomology hexagon:

• Ulrich Bunke, Thomas Nikolaus, Michael Völkl, Differential cohomology theories as sheaves of spectra, Journal of Homotopy and Related Structures October 2014 (arXiv:1311.3188)

On secondary characteristic classes in string cobordism cohomology theory and in tmf:

• Ulrich Bunke, Niko Naumann, Secondary Invariants for String Bordism and tmf, Bulletin des Sciences Mathématiques 138:8 (2014) 912–970 (doi:10.1016/j.bulsci.2014.05.002)

Introducing differential algebraic K-theory with application to higher Beilinson regulators:

• Ulrich Bunke, Georg Tamme, Regulators and cycle maps in higher-dimensional differential algebraic K-theory, Advances in Mathematics Volume 285, 5 November 2015, Pages 1853-1969

  (arXiv:1209.6451, doi:10.1016/j.aim.2015.08.004)

• Ulrich Bunke, David Gepner, Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory, Memoirs of the American Mathematical Society 2021 (arXiv:1306.0247, ISBN:978-1-4704-4685-7)

• Ulrich Bunke, Georg Tamme, Multiplicative differential algebraic K-theory and applications, Ann. K-Theory 1(3): 227–258 (2016) (arXiv:1311.1421, doi:10.2140/akt.2016.1.227)

On (equivariant) KK-theory as the homotopy category of a stable $(\infty,1)$-category:

• Ulrich Bunke, Alexander Engel, Markus Land, A stable $\infty$-category for equivariant KK-theory $[$arXiv:2102.13372$]$

On (topological) inertia stacks

• Ulrich Bunke, Markus Spitzweck, Thomas Schick, Inertia and delocalized twisted cohomology, Homotopy, Homology and Applications 10(1) 129–180 (2008) math.KT/0609576

  doi

Related $n$Lab entries

• differential cohomology

  • differential K-theory

• topological T-duality

• quantum anomaly

category: people