This is a survey article about Hall algebras and their applications to the study of motivic invariants of moduli spaces of coherent sheaves on Calabi-Yau threefolds. The ideas presented here are mostly due to Joyce, Kontsevich, Reineke, Soibelman and Toda.
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Univ Warsaw, Fac Phys, Ludwika Pasteura 5, PL-02093 Warsaw, PolandUniv Warsaw, Fac Phys, Ludwika Pasteura 5, PL-02093 Warsaw, Poland
Panfil, Milosz
Stosic, Marko
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Inst Super Tecn, Dept Matemat, CAMGSD, Ave Rovisco Pais, P-1049001 Lisbon, Portugal
Math Inst SANU, Knez Mihailova 36, Beograd 11000, SerbiaUniv Warsaw, Fac Phys, Ludwika Pasteura 5, PL-02093 Warsaw, Poland
Stosic, Marko
Sulkowski, Piotr
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Univ Warsaw, Fac Phys, Ludwika Pasteura 5, PL-02093 Warsaw, Poland
CALTECH, Walter Burke Inst Theoret Phys, Pasadena, CA 91125 USAUniv Warsaw, Fac Phys, Ludwika Pasteura 5, PL-02093 Warsaw, Poland
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Inst Super Tecn, Dept Matemat, CAMGSD, Av Rovisco Pais, P-1049001 Lisbon, PortugalInst Super Tecn, Dept Matemat, CAMGSD, Av Rovisco Pais, P-1049001 Lisbon, Portugal