Publications by Mattias Dahl
Peer reviewed
Articles
[1]
M. Dahl and K. Kröncke, "Local and global scalar curvature rigidity of Einstein manifolds," Mathematische Annalen, 2022.
[2]
M. Dahl and A. Sakovich, "A density theorem for asymptotically hyperbolic initial data satisfying the dominant energy condition," Pure and Applied Mathematics Quarterly, vol. 17, no. 5, pp. 1669-1710, 2021.
[3]
M. Dahl and E. Larsson, "Outermost apparent horizons diffeomorphic to unit normal bundles," Asian Journal of Mathematics, vol. 23, no. 6, pp. 1013-1040, 2019.
[4]
L. Andersson et al., "On the geometry and topology of initial data sets with horizons," Asian Journal of Mathematics, vol. 22, no. 5, pp. 863-882, 2018.
[5]
B. Ammann, M. Dahl and E. Humbert, "Low-dimensional surgery and the Yamabe invariant," Journal of the Mathematical Society of Japan, vol. 67, no. 1, pp. 159-182, 2015.
[6]
M. Dahl, R. Gicquaud and A. Sakovich, "Asymptotically Hyperbolic Manifolds with Small Mass," Communications in Mathematical Physics, vol. 325, no. 2, pp. 757-801, 2014.
[7]
M. Dahl and N. Grosse, "Invertible Dirac operators and handle attachments on manifolds with boundary," Journal of Topology and Analysis (JTA), vol. 6, no. 3, pp. 339-382, 2014.
[8]
B. Ammann et al., "Mass endomorphism, surgery and perturbations," Annales de l'Institut Fourier, vol. 64, no. 2, pp. 467-487, 2014.
[9]
M. Dahl, R. Gicquaud and E. Humbert, "A non-existence result for a generalization of the equations of the conformal method in general relativity," Classical and quantum gravity, vol. 30, no. 7, pp. 075004, 2013.
[10]
M. Dahl, R. Gicquaud and A. Sakovich, "Penrose Type Inequalities for Asymptotically Hyperbolic Graphs," Annales de l'Institute Henri Poincare. Physique theorique, vol. 14, no. 5, pp. 1135-1168, 2013.
[11]
B. Ammann, M. Dahl and E. Humbert, "Smooth yamabe invariant and surgery," Journal of differential geometry, vol. 94, no. 1, pp. 1-58, 2013.
[12]
B. Ammann, M. Dahl and E. Humbert, "Square-integrability of solutions of the Yamabe equation," Communications in analysis and geometry, vol. 21, no. 5, pp. 891-916, 2013.
[13]
B. Ammann, M. Dahl and E. Humbert, "The conformal Yamabe constant of product manifolds," Proceedings of the American Mathematical Society, vol. 141, no. 1, pp. 295-307, 2013.
[14]
M. Dahl, R. Gicquaud and E. Humbert, "A Limit Equation Associated To The Solvability Of The Vacuum Einstein Constraint Equations By Using The Conformal Method," Duke mathematical journal, vol. 161, no. 14, pp. 2669-2697, 2012.
[15]
M. Dahl and E. Humbert, "An isoperimetric constant associated to horizons in S(3) blown up at two points," Journal of Geometry and Physics, vol. 61, no. 10, pp. 1809-1822, 2011.
[16]
B. Ammann, M. Dahl and E. Humbert, "Harmonic spinors and local deformations of the metric," Mathematical Research Letters, vol. 18, no. 5, pp. 927-936, 2011.
[17]
B. Ammann, M. Dahl and E. Humbert, "Surgery and harmonic spinors," Advances in Mathematics, vol. 220, no. 2, pp. 523-539, 2009.
[18]
B. Ammann, M. Dahl and E. Humbert, "Surgery and the Spinorial tau-Invariant," Communications in Partial Differential Equations, vol. 34, no. 10, pp. 1147-1179, 2009.
[19]
M. Dahl, "On the space of metrics with invertible Dirac operator," Commentarii Mathematici Helvetici, vol. 83, pp. 451-469, 2008.
[20]
M. Dahl, "Prescribing eigenvalues of the Dirac operator," Manuscripta mathematica, vol. 118, no. 2, pp. 191-199, 2005.
[21]
C. Bär and M. Dahl, "The first Dirac eigenvalues on manifolds with positive scalar curvature," Proceedings of the American Mathematical Society, vol. 132, no. 11, pp. 3337-3344, 2004.
[22]
M. Dahl, "Dirac eigenvalues for generic metrics on three-manifolds," Annals of Global Analysis and Geometry, vol. 24, pp. 95-100, 2003.
[23]
C. Bär and M. Dahl, "Small eigenvalues of the Conformal Laplacian," Geometric and Functional Analysis, vol. 13, no. 3, pp. 483-508, 2003.
[24]
M. Dahl, "Dependence on the spin structure of the eta and Rokhlin invariants," Topology and its Applications, vol. 118, no. 3, pp. 345-355, 2002.
[25]
C. Bär and M. Dahl, "Surgery and the spectrum of the Dirac operator," Journal für die Reine und Angewandte Mathematik, vol. 552, pp. 53-76, 2002.
[26]
L. Andersson and M. Dahl, "scalar curvature rigidity for asymptotically locally hyperbolic manifolds," Annals of Global Analysis and Geometry, vol. 16, pp. 1-27, 1998.
[27]
L. Andersson, M. Dahl and R. Howard, "Boundary and lens rigidity of Lorentzian surfaces," Transactions of the American Mathematical Society, vol. 348, pp. 2307-2329, 1996.
Non-peer reviewed
Conference papers
[28]
M. Dahl, "The Positive Mass Theorem for Ale Manifolds," in Mathematics of gravitation. P. 1 : Lorentzian geometry and Einstein equations, 1997.
Theses
[29]
M. Dahl, "Some applications of dirac operators and eta invariants in geometry," Doctoral thesis Stockholm : KTH, 1999.
Other
[30]
E. Larsson and M. Dahl, "Outermost apparent horizons diffeomorphic to unit normal bundles," (Manuscript).
[31]
M. Dahl, R. Gicquaud and A. Sakovich, "Penrose type inequalities for asymptotically hyperbolic graphs," (Manuscript).
Latest sync with DiVA:
2024-09-18 00:30:41