Recent Papers of Dan Burghelea

  1. (with L.Friedlander and T.Kappeler) Witten deformation of the analytic torsion and Reidemeister torsion (Amer.Math.Soc.Transl.Ser.2,184, 1998, 23-34 )
  2. (with L.Friedlander and T.Kappeler) Torsions for manifolds with boundary and glueing formulas (Math.Nachr.208, 1999, 31-91)
  3. Removing metric anomalies from Ray Singer torsion (Letters in mathematical Physics,47, 1999, 149-158 )
  4. Lectures on Witten Hellfer Sjöstrand Theory (Proccedings of the third international workshop on differential geometry and its applications and the first German-Romanian seminar on geometry, Sibiu-Romania sept.1997, Astra association , vol 5, 85-99)
  5. (with L.Friedlander and T.Kappeler) Relative torsion for homotopy triangulations (Contemporary Mathematics,231, 1999, 37-57 )
  6. (with L.Friedlander and T.Kappeler) Relative torsion (Communications in Contemporary Mathematics, Vol 3, 2001, 15-85 )
  7. A short course on Witten Hellfer Sjöstrand Theory (lectures given at the summer school on Groups and Geometry, Goettingen, June 2000)
  8. Diffeomorphisms, K-theory and free loop spaces (lectures given at the summer school on Groups and Geometry, Goettingen, June 2000)
  9. (with S.Haller) On the topology and analysis of closed one form (Novikov theory revisited), Dec. 2000 (in Monogr. Enseign. Math. 38 (2001) 133-175.)
  10. (with S.Haller) Noncontractible periodic trajectories of symplectic vector fields, Floer cohomology and symplectic torsion, Jan.2001
  11. (with N.Saldanha and C Tomei) Results on infinite dimensional topology and applications to the structure of the critical set of nonlinear Sturm-Liuville operators, July 2001 (in J.Differential Equations, 227, 581-597, 2006.)
  12. (with S.Haller) A Riemannian invariant, Euler structures and some topological applications, revised Dec 2004 (Proceedings of the Conference C*-algebras and elliptic thoery, Bedlewo, Poland, 2004, in Trends Math., Birkhauser, Basel, 2006, pp 37-60.)
  13. (with S.Haller) The geometric complex of a Morse-Bott-Smale pair and an extension of a theorem by Bismut-Zhang, Nov 2004,
  14. (with S.Haller) Euler structures, the variety of representations and the Milnor-Turaev torsion, Dec 2004 (in Geom.and Topol. 10 (2006), 1185-1238)
  15. (with S.Haller) Dirichlet series, Topology and Spectral geometry (version 1), revised May 2005 (temporary unavailable)
  16. (with N.Saldanha and C.Tomei) The topology of the monodromy map of the second order ODE, June 2005,(in J.Differential Equations, 188,569-590,2003)
  17. (with S.Haller) Torsion as a function on the space of representations, July 2005, in C*algebras and Elliptic theory II, Trends in mathematics, 41-66, 2008, Birkhauser Verlag Basel/Switzerland)
  18. (with S.Haller) Dynamics, Laplace transform and Spectral geometry, August 2005, (in Journal of Topology 1 (2008), 115-151)
  19. (with S.Haller) Complex valued Ray Singer torsion, April 2006 (in Journal of Functional analysis 248, (2007), 27-78)
  20. (with S.Haller) Complex valued Ray Singer torsion II, October 2006
  21. (with N.C. Saldanha, C .Tomei) The geometry of the critical set of nonlinear periodic Sturm-Liouville operators, Jul 2007