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We study refined and motivic wall-crossing formulas in N=2 supersymmetric gauge theories with SU(2) gauge group and N_f < 4 matter hypermultiplets in the fundamental representation.
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E. Witten, Solutions of four-dimensional field theories via M- theory
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1997
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S. Katz, P. Mayr, and C. Vafa, Mirror symmetry and Exact Solution of 4D N=2 Gauge Theories I
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1999
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M. Aganagic, V. Bouchard, and A. Klemm, Topological Strings and (Almost) Modular Forms
2008
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2009
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M. Kontsevich and Y. Soibelman, Cohomological Hall Algebra
2009
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T. Dimofte and S. Gukov, Refined, Motivic, and Quantum
2010
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T. Dimofte and D. L. Jafferis, Motivic Wall Crossing, Moduli Spaces, and Invisible Walls
2010
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D. Gaiotto, G. W. Moore, and A. Neitzke, Wall-crossing, Hitchin Systems, and the WKB Approximation
Cited in the paper.
E. Diaconescu and G. W. Moore, Crossing the Wall: Branes vs. Bundles
Cited in the paper.
M. Kontsevich and Y. Soibelman, Motivic Donaldson-Thomas Invariants: Summary of Results
Cited in the paper.
F. Denef and G. W. Moore, Split States, Entropy Enigmas, Holes and Halos
Cited in the paper.