MD
Mattias Dahl
math.DGgr-qcmath.APmath.GTdg-gahep-thmath.RTmath.SP
On Valency
published · living versionsW_pbqxp2ng·v1 · currentpublished
Preprints & journals
32 papers in the corpus · 1997–2025The Space of Dirac-Minimal Metrics is Connected in Dimensions 2 and 42508.01420v2 · Bernd Ammann, Mattias Dahl2025 · 0 citationsSIGMA 21 (2025), 102, 18 pages
The Volume-Renormalized Mass from a Hamiltonian Perspective2506.11841v1 · Mattias Dahl, Klaus Kroencke, Stephen McCormick2025 · 0 citationsarXiv
Mode Stability of Hermitian Instantons2410.21210v3 · Lars Andersson, Bernardo Araneda, Mattias Dahl2024 · 0 citationsSIGMA 21 (2025), 022, 13 pages
A volume-renormalized mass for asymptotically hyperbolic manifolds2307.06196v2 · Mattias Dahl, Klaus Kroencke, Stephen McCormick2023 · 1 citationarXiv
Gravitational instantons with symmetry2306.14567v3 · Steffen Aksteiner, Lars Andersson, Mattias Dahl et al.2023 · 2 citationsarXiv
Local and global scalar curvature rigidity of Einstein manifolds2109.09556v2 · Mattias Dahl, Klaus Kroencke2021 · 1 citationarXiv
Outermost apparent horizons diffeomorphic to unit normal bundles1606.08418v4 · Mattias Dahl, Eric Larsson2016 · 3 citationsAsian J. Math. 23 (2019), no. 6, 1013-1040
Mass-like invariants for asymptotically hyperbolic metrics. Part I: Classification1603.07952v3 · Julien Cortier, Mattias Dahl, Romain Gicquaud2016 · 4 citationsPure and Applied Mathematics Quarterly, Volume 22 (2026), Number 3, 831-911
On the geometry and topology of initial data sets with horizons1508.01896v2 · Lars Andersson, Mattias Dahl, Gregory J. Galloway et al.2015 · 11 citationsAsian J. Math. 22 (2018), no. 5, 863-881
A density theorem for asymptotically hyperbolic initial data satisfying the dominant energy condition1502.07487v2 · Mattias Dahl, Anna Sakovich2015 · 8 citationsarXiv
Asymptotically hyperbolic manifolds with small mass1209.0154v2 · Mattias Dahl, Romain Gicquaud, Anna Sakovich2012 · 7 citationsCommun. Math. Phys. 325, 757-801 (2014)
A non-existence result for a generalization of the equations of the conformal method in general relativity1207.5131v3 · Mattias Dahl, Romain Gicquaud, Emmanuel Humbert2012 · 2 citationsClass. Quantum Grav. 30 (2013) 075004
Low-dimensional surgery and the Yamabe invariant1204.1197v3 · Bernd Ammann, Mattias Dahl, Emmanuel Humbert2012 · 11 citationsJ. Math. Soc. Japan Vol. 67, No. 1 (2015) pp. 159-182
Invertible Dirac operators and handle attachments on manifolds with boundary1203.3637v2 · Mattias Dahl, Nadine Gro\sse2012 · 0 citationsJ. Topol. Anal. 06, 339 (2014)
Penrose type inequalities for asymptotically hyperbolic graphs1201.3321v2 · Mattias Dahl, Romain Gicquaud, Anna Sakovich2012 · 36 citationsAnn. Henri Poincar\'e 14 (2013), 1135-1168
Square-integrability of solutions of the Yamabe equation1111.2780v1 · Bernd Ammann, Mattias Dahl, Emmanuel Humbert2011 · 10 citationsComm. Anal. Geom. 21 (2013), no. 5, 891-916
The conformal Yamabe constant of product manifolds1103.1826v3 · Bernd Ammann, Mattias Dahl, Emmanuel Humbert2011 · 6 citationsProc. Amer. Math. Soc. 141 (2013), 295-307
A limit equation associated to the solvability of the vacuum Einstein constraint equations using the conformal method1012.2188v2 · Mattias Dahl, Romain Gicquaud, Emmanuel Humbert2010 · 34 citationsDuke Math. J. 161, no. 14 (2012), 2669-2697
Mass endomorphism, surgery and perturbations1009.5618v2 · Bernd Ammann, Mattias Dahl (KTH Stockholm), Andreas Hermann et al.2010 · 8 citationsAnnales de l'Institut Fourier, 64 no. 2 (2014), p. 467-487
An isoperimetric constant associated to horizons in blown-up at two points0911.0061v1 · Mattias Dahl, Emmanuel Humbert2009 · 0 citationsJournal of Geometry and Physics, Volume 61, Issue 10, October 2011, Pages 1809-1822
Harmonic spinors and local deformations of the metric0903.4544v3 · Bernd Ammann, Mattias Dahl, Emmanuel Humbert2009 · 10 citationsMath. Res. Lett. 18 (2011), no. 5, 927-936
Smooth Yamabe invariant and surgery0804.1418v5 · Bernd Ammann, Mattias Dahl (KTH Stockholm), Emmanuel Humbert (IECN)2008 · 45 citationsJ. Differential Geom. Volume 94, Number 1 (2013), 1-58
Surgery and the spinorial tau-invariant0710.5673v3 · Bernd Ammann, Mattias Dahl (KTH Stockholm), Emmanuel Humbert (IECN)2007 · 6 citationsComm. Partial Differential Equations 34 (2009), no. 10-12, 1147-1179
Surgery and Harmonic Spinorsmath/0606224v1 · Bernd Ammann, Mattias Dahl, Emmanuel Humbert2006 · 37 citationsAdv. Math. 220 (2009), no. 2, 523-539
On the space of metrics with invertible Dirac operatormath/0603018v1 · Mattias Dahl2006 · 13 citationsComment. Math. Helv. 83 (2008), no. 2, 451-469
Prescribing eigenvalues of the Dirac operatormath/0311172v3 · Mattias Dahl2003 · 22 citationsManuscripta Math. 118 (2005), no. 2, 191-199
The First Dirac Eigenvalue on Manifolds with Positive Scalar Curvaturemath/0305277v1 · Christian Baer, Mattias Dahl2003 · 9 citationsProc. Amer. Math. Soc. 132, 3337-3344 (2004)
Dirac eigenvalues for generic metrics on three-manifoldsmath/0204232v2 · Mattias Dahl2002 · 12 citationsAnn. Global Anal. Geom. 24 (2003), no. 1, 95-100
Small eigenvalues of the Conformal Laplacianmath/0204200v3 · Christian Baer, Mattias Dahl2002 · 16 citationsGeom. Funct. Anal. 13, 483-508 (2003)
Surgery and the Spectrum of the Dirac Operatormath/0201195v2 · Christian Baer, Mattias Dahl2002 · 34 citationsJ. reine angew. Math. 552, 53-76 (2002)
Dependence on the spin structure of the eta and rokhlin invariantsmath/9912168v1 · Mattias Dahl1999 · 4 citationsTopology Appl. 118 (2002), no. 3, 345-355
Scalar Curvature Rigidity for asymptotically locally hyperbolic manifoldsdg-ga/9707017v1 · L. Andersson, M. Dahl1997 · 115 citationsAnn. Global Anal. Geom. 16 (1998), no. 1, 1-27
Career total: 53 works. 32 are in this corpus.
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