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Papers & Preprints

Listed are papers and preprints which have been supported by the collaboration

  • SCHGAP-046: Johannes Nordström, Extra-twisted connected sum G_2-manifolds, arXiv:1809.09083
  • SCHGAP-045: Ved Datar, Adam Jacob, Yuguang Zhang, Adiabatic limits of anti-self-dual connections on collapsed K3 surfaces, arXiv:1809.08583
  • SCHGAP-044: Aleksander Doan, Thomas Walpuski, Castelnuovo’s bound and rigidity in almost complex geometry, arXiv:1809.04731
  • SCHGAP-043: Anthony Ashmore, Xenia de la Ossa, Ruben Minasian, Charles Strickland-Constable, Eirik Eik Svanes, Finite deformations from a heterotic superpotential: holomorphic Chern–Simons and an L_\infty algebra, arxiv.org/abs/1806.08367
  • SCHGAP-042: Diarmuid Crowley, Sebastian Goette, Johannes Nordström, Distinguishing G_2-manifolds, arXiv:1808.05585
  • SCHGAP-041: Simon Donaldson, Some recent developments in Kähler geometry and exceptional holonomy (ICM survey lecture), arXiv:1808.03995
  • SCHGAP-040: A. Haydys, The infinitesimal multiplicities and orientations of the blow-up set of the Seiberg-Witten equation with multiple spinors, arXiv:1607.01763 (revised 7 May 2018)
  • SCHGAP-039: Yang Li, Dirichlet problem for maximal graphs of higher codimension, arxiv.org/abs/1807.11795
  • SCHGAP-038: Xuemiao Chen, Song Sun, Algebraic tangent cones of reflexive sheaves, arxiv.org/abs/1808.02172
  • SCHGAP-037: Hans-Joachim Hein, Song Sun, Jeff Viaclovsky, Ruobing Zhang, Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces, arxiv.org/abs/1807.09367
  • SCHGAP-036: Andriy Haydys, Bin Xu, Special Kähler structures, cubic differentials and hyperbolic metrics, arxiv.org/abs/1807.08550
  • SCHGAP-035: Xuemiao Chen, Song Sun, Analytic tangent cones of admissible Hermitian-Yang-Mills connections, arxiv.org/abs/1806.11247
  • SCHGAP-034: Yang Li, Local Nahm transform and singularity formation of ASD connections, arxiv.org/abs/1712.00765
  • SCHGAP-033: Simon Salamon, “Manifolds with Exceptional Holonomy.”  Special Metrics and Group Actions in Geometry, pp.307–338, Springer INdAM Ser. 23, Springer, Cham, 2017, link.springer.com/chapter/10.1007%2F978-3-319-67519-0_13
  • SCHGAP-032: Lorenzo Foscolo, Mark Haskins, Johannes Nordström, Infinitely many new families of complete cohomogeneity one G_2-manifolds: G_2 analogues of the Taub-NUT and Eguchi-Hanson spaces, arXiv:1805.02612.
  • SCHGAP-031: Simon Donaldson, Remarks on G_2 manifolds with boundary, arXiv:1802.09694.
  • SCHGAP-030: Simon Donaldson, An elliptic boundary value problem for G_2 structures, arXiv:1801.01806.
  • SCHGAP-029: Andreas P. Braun, Michele Del Zotto, James Halverson, Magdalena Larfors, David R. Morrison, Sakura Schäfer-Nameki, Infinitely Many M_2-instanton Corrections to M-theory on G_2-manifolds, arXiv:1803.02343.
  • SCHGAP-028: Aleksander Doan, Thomas Walpuski, On counting associative submanifolds and Seiberg-Witten monopoles, arXiv:1712.08383.
  • SCHGAP-027: Martin Callies, Andriy Haydys, Local models of isolated singularities for affine special Kähler structures in dimension two, arXiv:1711.09118.
  • SCHGAP-026: Aleksander Doan, Thomas Walpuski, On the existence of harmonic Z/2 spinors, arXiv:1710.06781.
  • SCSHGAP-025: Marc-Antoine Fiset, Callum Quigley, Eirik Eik Svanes, Marginal deformations of heterotic G_2 sigma models, arXiv:1710.06865.
  • SCHGAP-024: Martin Callies, Andriy Haydys, Affine special Kaehler structures in real dimension two, arxiv.org/abs/1710.05211
  • SCSHGAP-023: Lorenzo Foscolo, Mark Haskins, and Johannes Nordström, Complete non-compact G_2-manifolds from asymptotically conical Calabi-Yau 3-folds, arXiv:1709.04904.
  • SCSHGAP-022: Dominic Joyce and Spiro Karigiannis, A new construction of compact G_2-manifolds by gluing families of Eguchi-Hanson spaces, arXiv:1707.09325.
  • SCSHGAP-021: Xuemiao Chen and Song Sun, Singularities of Hermitian-Yang-Mills connections and the Harder-Narasimhan-Seshadri filtration, arXiv:1707.08314.
  • SCSHGAP-020: Bobby S. Acharya, Sebastian A. R. Ellis, Gordon L. Kane, Brent D. Nelson, and Malcolm Perry, Categorisation and Detection of Dark Matter Candidates from String/M-theory Hidden Sectors, arXiv:1707.04530.
  • SCSHGAP-019: Yang Li, On collapsing Calabi-Yau fibrations, arXiv:1706.10250.
  • SCSHGAP-018: Matthew J. Stott, David J. E. Marsh, Chakrit Pongkitivanichkul, Layne C. Price, and Bobby S. Acharya, The Spectrum of the Axion Dark Sector, arXiv:1706.03236.
  • SCSHGAP-017: Yang Li, A new complete Calabi-Yau metric on \mathbb{C}^2, arXiv:1705.07026.
  • SCSHGAP-016: Sebastian Goette, Martin Kerin, and Krishnan Shankar, Highly connected 7-manifolds and non-negative curvature, arXiv:1705.05895.
  • SCSHGAP-015: Aleksander Doan and Thomas Walpuski Deformation theory of the blown-up Seiberg-Witten equation in dimension three, arXiv:1704.02954.
  • SCSHGAP-014: Bobby Samir Acharya, Malcolm Fairbairn, and Edward Hardy, Glueball dark matter in non-standard cosmologies, arXiv:1704.01804.
  • SCSHGAP-013: Simon Donaldson, Kahler-Einstein metrics and algebraic geometry, arXiv:1702.05748.
  • SCSHGAP-012: Simon Donaldson, Stability of algebraic varieties and Kahler geometry, arXiv:1702.05745.
  • SCSHGAP-011: Aleksander Doan, Seiberg-Witten monopoles with multiple spinors on a surface times a circle, arXiv:1701.07942.
  • SCSHGAP-010: Aleksander Doan, Adiabatic limits and Kazdan-Warner equations, arXiv:1701.07931.
  • SCSHGAP-009: Bobby S. Acharya, Krzysztof Bozek, Miguel Crispim Romão, Stephen F. King, and Chakrit Pongkitivanichkul, Neutrino mass from M Theory SO(10), arXiv:1607.06741.
  • SCSHGAP-008: Lorenzo Foscolo and Mark Haskins, New G_2-holonomy cones and exotic nearly Kähler structures on S^6 and S^3 x S^3, Ann. of Math. (2) 185 (2017), 59–130, arXiv:1501.07838.
  • SCSHGAP-007: Andreas P. Braun and Sakura Schäfer-Nameki, Compact, singular G_2-holonomy manifolds and M/heterotic/F-theory duality, arXiv:1708.07215.
  • SCSHGAP-006: Simon Donaldson, Boundary value problems in dimensions seven, four and three related to exceptional holonomy,  arXiv:1708.01649.
  • SCSHGAP-005: Yuanqi Wang, An elliptic theory of indicial weights and applications to non-linear geometry problems,  arXiv:1702.05864.
  • SCSHGAP-004: Grégoire Menet, Johannes Nordström, and Henrique N. Sá Earp, Construction of G_2-instantons via twisted connected sums,  arXiv:1510.03836v2.
  • SCSHGAP-003: Andriy Haydys, G_2 instantons and the Seiberg-Witten monopoles,  arXiv:1703.06329.
  • SCSHGAP-002: Diego Conti, Thomas Bruun Madsen, and Simon Salamon, Quaternionic geometry in dimension eight,  arXiv:1610.04833.
  • SCSHGAP-001: Dominic Joyce, Conjectures on counting associative 3- folds in G_2 manifolds, arXiv:1610.09836.