Preprints, Thomas Branson

Updated August 15, 2005

11. Differential operators canonically associated to a conformal structure
17. (with P.B. Gilkey) The asymptotics of the Laplacian on a manifold with boundary
18. (with P. Gilkey and B. Orsted) Leading terms in the heat invariants
19. (with P. Gilkey and B. Orsted) Leading terms in the heat invariants for the Laplacians of the de Rham, signature, and spin complexes
20. (with G. Olafsson) Equipartition of energy for waves in symmetric space
21. (with B. Orsted) Conformal geometry and global invariants
22. (with B. Orsted) Explicit functional determinants in four dimensions
23. Harmonic analysis in vector bundles associated to the rotation and spin groups
24. (with P.B. Gilkey) Residues of the eta function for an operator of Dirac type
25. (with P. Gilkey, B. Orsted, and A. Pierzchalski) Heat equation asymptotics of a generalized Ahlfors Laplacian on a manifold with boundary
26. (with S.-Y. A. Chang and P. Yang) Estimates and extremals for zeta function determinants on four-manifolds
27. (with P.B. Gilkey) Residues of the eta function for an operator of Dirac type with local boundary conditions
28. [monograph] "The Functional Determinant"
29. (with P. Gilkey and A. Pierzchalski) Heat equation asymptotics of elliptic differential operators with non-scalar leading symbol
30. (with P.B. Gilkey) The functional determinant of a four-dimensional boundary value problem
31. (with G. Olafsson and H. Schlichtkrull) A bundle valued Radon transform, with applications to invariant wave equations
32. (with P. Gilkey and J. Pohjanpelto) Invariants of conformally flat manifolds
33. (with G. Olafsson and H. Schlichtkrull) Huyghens' principle in Riemannian symmetric spaces
34. (with N. Blazic, N. Bokan, and P. Gilkey) When the leading terms in the heat equation asymptotics are coercive
35. Sharp inequalities, the functional determinant, and the complementary series
36. (with G. Olafsson and B. Orsted) Spectrum generating operators, and intertwining operators for representations induced from a maximal parabolic subgroup
37. An anomaly associated with 4-dimensional quantum gravity
38. Nonlinear phenomena in the spectral theory of geometric linear differential operators
39. (with P. Gilkey) The functional determinant in the standard conformal class on four dimensional balls and spherical shells
40. Spectral theory of invariant operators, sharp inequalities, and representation theory
41. (with G. Olafsson) Helmholtz operators and symmetric space duality
42. (with P. Gilkey and D. Vassilevich) The asymptotics of the Laplacian on a manifold with boundary, II
43. (with R. Lano and V. Rodgers) Yang-Mills, gravity, and 2D string symmetries
44. (with O. Hijazi) Vanishing theorems and eigenvalue estimates in Riemannian spin geometry
45. Stein-Weiss operators and ellipticity
46. (with P. Gilkey and D. Vassilevich) Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary
47. Second order conformal covariants
48. (with G. Olafsson) Asymptotics of the d'Alembertian with potential on a pseudo-Riemannian manifold
49. Spectra of self-gradients on spheres
50. (with P. Gilkey, K. Kirsten, and D. Vassilevich) Heat kernel asymptotics with mixed boundary conditions
51. Kato constants in Riemannian geometry
52. (with O. Hijazi) Improved forms of some vanishing theorems in Riemannian spin geometry
53. (with V.G.J. Rodgers and T. Yasuda) Interactions of a string inspired graviton field
54. Automated symbolic computation in spin geometry
55. (with I.G. Avramidi) Heat kernel asymptotics of operators with non-Laplace principal part
56. (with A.R. Gover) Conformally invariant non-local operators
57. (with C. Bennett) Curvature actions on Spin(n) bundles
58. (with O. Hijazi) Bochner-Weitzenb\"ock formulas associated with the Rarita-Schwinger operator
59. (with I.G. Avramidi) A discrete leading symbol and spectral asymptotics for natural differential operators
60. (with A.R. Gover) A conformally invariant differential operator on Weyl tensor densities
61. (with A.R. Gover) Electromagnetism, metric deformations, ellipticity and gauge operators on conformal 4-manifolds
62. (with A.R. Gover) Conformally invariant operators, differential forms, cohomology and a generalisation of Q-curvature
63. (with A. Cap, M.G. Eastwood, and A.R. Gover) Prolongations of geometric overdetermined systems
64. (with G. Olafsson and A. Pasquale) The Paley-Wiener Theorem and the Local Huygens' Principle for Compact Symmetric Spaces
65. (with B. Orsted) Spontaneous generation of eigenvalues
66. (with G. Olafsson and A. Pasquale) The Paley-Wiener Theorem for the Jacobi Transform and the Local Huygens' Principle for Root Systems with Even Multiplicities