Non commutative topology in solid state physics

• Gap labelling and the pressure on the boundary (dvi, pdf).


• Rotation Numbers, Boundary Forces and Gap Labelling, with Ioannis Zois (pdf),
  J. Phys. A: Math. Gen. 38 3937--3946 (2005).
  The original publication is available here.


• Topological quantization of boundary forces and the integrated density of states (pdf),
  J. Phys. A. 37 L161--L166 (2004).
  The original publication is available here.


• Quantization of edge currents for continuous magnetic operators, with H. Schulz-Baldes (pdf),
  J. Funct. Anal. 209, 388--413 (2004).
  The original publication is available here.


• Boundary maps for C*-crossed products with R with an application to the Quantum Hall Effect, with H. Schulz-Baldes (pdf),
  Commun. Math. Phys. 249, 611-637 (2004).
  The original publication is available at springerlink.com.

Non commutative topology in scattering theory

• A topological version of Levinson's theorem, with Serge Richard (pdf),
  math-ph/0504052.


• Proceedings of the Conference on Operator Algebras and Mathematical Physics, Bucharest 2005,
  Topological boundary maps in physics, general theory and applications, with Serge Richard (pdf).
  


• Levinson's theorem for Schrodinger operators with point interaction: a topological approach, with Serge Richard (ps),
  math-ph/0607042.


• On the structure of the wave-operators in one dimensional potential scattering, with Serge Richard (pdf),
  .

Tiling theory

• Pattern equivariant functions, deformations and equivalence of tiling spaces (pdf),
  math.DS/0703156.


• The Ruelle-Sullivan map for R^n-actions, with I. Putnam (dvi, pdf),
  Math. Ann. 334 (2006), no. 3, 693--711.


• Pattern-equivariant functions and cohomology (pdf),
  J. Phys. A. 36, 1-8 (2003). The original publication is available here.


• Topological invariants for projection method patterns, with A.H. Forrest and J.R. Hunton (dvi, pdf),
  Memoirs of the AMS, 159(758), (2002).


• Cohomology of canonical projection tilings, with A.H. Forrest and J.R. Hunton (pdf),
  Comm. Math. Phys. 226, 289--322 (2002).
  The original publication is available at springerlink.com.


• Tilings, C*-algebras and K-theory, with I. Putnam (dvi, pdf),
  In Directions in Mathematical Quasicrystals, Eds.: M. Baake and R. Moody, pages 177-206, CRM Monograph Series, AMS, Providence (RI), 2000.

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(Mise à jour : 23.3.2007.)