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Publications

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Thomsen, K. & Christensen, J. (2018). Equilibrium and ground states from Cayley graphs. Journal of Functional Analysis, 274(5), 1553-1586. https://doi.org/10.1016/j.jfa.2017.06.019
Thomsen, K. (2019). The factor type of conservative KMS-weights on graph C∗-algebras. In Analysis and operator theory (pp. 379–394). Springer.
Thomsen, K. (2020). KMS states, conformal measures and ends in digraphs. Advances in Operator Theory, 5(2), 489-607. https://doi.org/10.1007/s43036-020-00060-y
Thomsen, K. (2020). Phase transition in the CAR algebra. Advances in Mathematics, 372, Article 107312. https://doi.org/10.1016/j.aim.2020.107312
Thomsen, K. (2020). The factor type of dissipative KMS weights on graph C∗-algebras. Journal of Noncommutative Geometry, 14(3), 1107-1128. https://doi.org/10.4171/JNCG/388
Thomsen, K. (2021). Ground States for Generalized Gauge Actions on UHF Algebras. Communications in Mathematical Physics, 386(1), 57-85. https://doi.org/10.1007/s00220-021-04075-1
Thomsen, K. (2021). The Possible Temperatures for Flows on a Simple AF Algebra. Communications in Mathematical Physics, 386(3), 1489-1518. https://doi.org/10.1007/s00220-021-04130-x
Thomsen, K. (2023). Equilibria when the temperature goes to zero. Journal of Mathematical Physics, 64(12), Article 121701. https://doi.org/10.1063/5.0174058
Thomsen, K. (2024). An introduction to KMS weights. Springer. Lecture Notes in Mathematics Vol. 2362 https://doi.org/10.1007/978-3-031-75630-6
Thomsen, J. F. (1998). Flag varieties, Toric varieties and characteristic p geometry. Institut for Matematiske Fag, Aarhus Universitet.
Tessera, R., Valette, A. & Ciobotaru, C.-G. (2020). Locally compact groups with every isometric action bounded or proper. Journal of Topology and Analysis, 12(2), 267-292. https://doi.org/10.1142/S1793525319500547
Swann, A. F. (2011). Podestà, Fabio; Spiro, Andrea. Six-dimensional nearly Kähler manifolds of cohomogeneity one. J. Geom. Phys. 60 (2010), no. 2, 156--164. Mathematical Reviews, 2011c(53096), MR2587385.
Swann, A. F. (2011). Gaiotto, Davide; Neitzke, Andrew; Tachikawa, Yuji . Argyres-Seiberg duality and the Higgs branch. Comm. Math. Phys. 294 (2010), no. 2, 389--410. Mathematical Reviews, 2011g(53091), MR2579460.
Swann, A. F. (2011). Karigiannis, Spiro. Flows of G2-structures. I. Q. J. Math. 60 (2009), no. 4, 487--522. Mathematical Reviews, 2011g(53046), MR2559631.
Swann, A. F. (2011). Alekseevsky, D. V.; Cortés, V.; Galaev, A. S.; Leistner, T. Cones over pseudo-Riemannian manifolds and their holonomy. J. Reine Angew. Math. 635 (2009), 23--69. Mathematical Reviews, 2011b(53115), MR2572254.
Swann, A. F. (2011). Schwachhöfer, Lorenz J.; Tapp, Kristopher. Cohomogeneity one disk bundles with normal homogeneous collars. Proc. Lond. Math. Soc. (3) 99 (2009), no. 3, 609--632. Mathematical Reviews, 2011a(53084), MR2551465.
Swann, A. F. (2011). Karigiannis, Spiro; Leung, Naichung Conan. Hodge theory for G2-manifolds: intermediate Jacobians and Abel-Jacobi maps. Proc. Lond. Math. Soc. (3) 99 (2009), no. 2, 297--325. Mathematical Reviews, 2011a(53166), MR2533667.
Swann, A. F. (2011). Alekseevsky, D. V.; Cortés, V. Geometric construction of the r-map: from affine special real to special Kähler manifolds. Comm. Math. Phys. 291 (2009), no. 2, 579--590. Mathematical Reviews, 2011a(53070), MR2530173.
Swann, A. F. & Madsen, T. B. (2011). Homogeneous spaces, multi-moment maps and (2,3)-trivial algebras. A I P Conference Proceedings Series, 1360, 51-62. https://doi.org/10.1063/1.3599127
Swann, A. F. & Madsen, T. B. (2012). Multi-moment maps. Advances in Mathematics, 229(4), 2287-2309. https://doi.org/10.1016/j.aim.2012.01.002
Swann, A. F. (2012). Bellucci, Stefano; Marrani, Alessio; Roychowdhury, Raju. On quantum special Kähler geometry. Internat. J. Modern Phys. A 25 (2010), no. 9, 1891--1935. Mathematical Reviews, 2012d(53150), MR2651217.
Swann, A. F. (2012). Carron, Gilles. On the quasi-asymptotically locally Euclidean geometry of Nakajima's metric. J. Inst. Math. Jussieu 10 (2011), no. 1, 119--147. Mathematical Reviews, 2012d(53151), MR2749573.
Swann, A. F. (2012). Boyer, Charles P. Extremal Sasakian metrics on S3-bundles over S2. Math. Res. Lett. 18 (2011), no. 1, 181--189. Mathematical Reviews, 2012d(53132), MR2756009.
Swann, A. F. (2012). Matzeu, Paola. Closed Einstein-Weyl structures on compact Sasakian and cosymplectic manifolds. Proc. Edinb. Math. Soc. (2) 54 (2011), no. 1, 149--160. Mathematical Reviews, 2012d(53140), MR2764413.
Swann, A. F. (2012). Ornea, L.; Verbitsky, M. A report on locally conformally Kähler manifolds. Harmonic maps and differential geometry, 135--149, Contemp. Math., 542, Amer. Math. Soc., Providence, RI, 2011. Mathematical Reviews, 2012e(53135), MR2796645.
Swann, A. F. (2012). Baraglia, D. Moduli of coassociative submanifolds and semi-flat G2-manifolds. J. Geom. Phys. 60 (2010), no. 12, 1903--1918. Mathematical Reviews, 2012f(53100), MR2735277.
Swann, A. F. (2012). Zhang, Xi. Some invariants in Sasakian geometry. Int. Math. Res. Not. IMRN 2011, no. 15, 3335--3367. Mathematical Reviews, Article MR2822176.
Swann, A. F. (2012). Bellucci, Stefano; Marrani, Alessio; Roychowdhury, Raju. Topics in cubic special geometry. J. Math. Phys. 52 (2011), no. 8, 082302, 29 pp. Mathematical Reviews, Article MR2858043.
Swann, A. F. (2012). Gutowski, J. B.; Sabra, W. A. HKT geometry and fake five-dimensional supergravity. Classical Quantum Gravity 28 (2011), no. 17, 175023, 11 pp. Mathematical Reviews, Article MR2837320.
Swann, A. F. (2013). Donaldson, Simon; Segal, Ed. Gauge theory in higher dimensions, II. Surveys in differential geometry. Volume XVI. Geometry of special holonomy and related topics, 1--41, Surv. Differ. Geom., 16, Int. Press, Somerville, MA, 2011. Mathematical Reviews, Article MR2893675.
Swann, A. F. (2013). de Andrés, L. C.; Fernández, M.; Ivanov, S.; Santisteban, J. A.; Ugarte, L.; Vassilev, D. Bianchi type A hyper-symplectic and hyper-Kähler metrics in 4D. Classical Quantum Gravity 29 (2012), no. 2, 025003, 18 pp. Mathematical Reviews, Article MR2873990.
Swann, A. F. (2013). Chiossi, Simon G.; Nagy, Paul-Andi. Complex homothetic foliations on Kähler manifolds. Bull. Lond. Math. Soc. 44 (2012), no. 1, 113--124. Mathematical Reviews, Article MR2881329.
Swann, A. F. (2013). Ornea, Liviu; Verbitsky, Misha. Automorphisms of locally conformally Kähler manifolds. Int. Math. Res. Not. IMRN 2012, no. 4, 894--903. Mathematical Reviews, Article MR2889162.
Swann, A. F. (2013). Podestà, Fabio; Spiro, Andrea. Six-dimensional nearly Kähler manifolds of cohomogeneity one (II). Comm. Math. Phys. 312 (2012), no. 2, 477--500. Mathematical Reviews, Article MR2917173.
Swann, A. F. (2013). Karigiannis, Spiro; McKay, Benjamin; Tsui, Mao-Pei. Soliton solutions for the Laplacian co-flow of some G2-structures with symmetry. Differential Geom. Appl. 30 (2012), no. 4, 318--333. Mathematical Reviews, Article MR2926272.
Swann, A. F. (2013). Keller, Julien; Tønnesen-Friedman, Christina W. Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections. Cent. Eur. J. Math. 10 (2012), no. 5, 1673--1687. Mathematical Reviews, Article MR2949645.
Swann, A. F. (2013). Leung, Naichung Conan; Ma, Ziming Nikolas. Lattice points counting via Einstein metrics. J. Differential Geom. 92 (2012), no. 1, 55--69. Mathematical Reviews, Article MR2998899.
Swann, A. F. (2013). Loftin, John; McIntosh, Ian. Minimal Lagrangian surfaces in CH2 and representations of surface groups into SU(2,1). Geom. Dedicata 162 (2013), 67--93. Mathematical Reviews, Article MR3009535.
Swann, A. F. (2013). Bezvitnaya, Natalia I. Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4. Differential Geom. Appl. 31 (2013), no. 2, 284--299. Mathematical Reviews, Article MR3032649.
Swann, A. F. (2014). LeBrun, Claude. Einstein manifolds and extremal Kähler metrics. J. Reine Angew. Math. 678 (2013), 69--94. Mathematical Reviews, Article MR3056103.
Swann, A. F. (2016). Twists versus modifications. Advances in Mathematics, 303, 611-637. https://doi.org/10.1016/j.aim.2016.08.028
Swann, A. F. & Dancer, A. (2017). Hypertoric Manifolds and HyperKähler Moment Maps. In S. Chiossi, A. Fino, E. Musso, F. Podestà & L. Vezzoni (Eds.), Special Metrics and Group Actions in Geometry (pp. 107-127). Springer. https://doi.org/10.1007/978-3-319-67519-0_5
Swann, A. (2010). Twisting Hermitian and hypercomplex geometries. Duke Mathematical Journal, 155(2), 403-431. https://doi.org/10.1215/00127094-2010-059
Swann, A. (2009). Quaternionic torsion geometry, superconformal symmetry and t-duality. AIP Conference Proceedings, 1093, 162-179. https://doi.org/10.1063/1.3089201
Swann, A. & Olsen, N. H. (2003). Linear transformation groups and shape space. Journal of Mathematical Imaging and Vision, 19(1), 49-62. https://doi.org/10.1023/A:1024437004092
Swann, A. (1999). Homogeneous twistor spaces and nilpotent orbits. Mathematische Annalen, 313(1), 161-188. https://doi.org/10.1007/s002080050256
Swann, A. (1991). HyperKähler and quaternionic Kähler geometry. Mathematische Annalen, 289(1), 421-450. https://doi.org/10.1007/BF01446581
Swann, A. F. (2019). Foscolo, Lorenzo. A gluing construction for periodic monopoles. Int. Math. Res. Not. IMRN 2017, no. 24, 7504--7550. MathSciNet, Article MR3801425 . https://mathscinet.ams.org/mathscinet-getitem?mr=3801425
Swann, A. F. (2019). Cortés, Vicente, Dieterich, Peter-Simon, Mohaupt, Thomas. ASK/PSK-correspondence and the r-map. Lett. Math. Phys. 108 (2018), no. 5, 1279--1306. MathSciNet, Article MR3785730. https://mathscinet.ams.org/mathscinet-getitem?mr=3785730
Swann, A. F. (2019). Ang, J. P., Driezen, Sibylle, Roček, Martin, Sevrin, Alexander. Generalized Kähler structures on group manifolds and T-duality. J. High Energy Phys. 2018, no. 5, 189, front matter+41 pp. MathSciNet, Article MR3814998. https://mathscinet.ams.org/mathscinet-getitem?mr=3814998

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Revised 06.01.2026
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Lars Madsen