Geodesic
Framed sheaves over treefolds and symmetric obstruction theories
Documenta mathematica, Tome 18 (2013), pp. 323-342
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We note that open moduli spaces of sheaves over local Calabi-Yau surface geometries framed along the divisor at infinity admit symmetric perfect obstruction theories. We calculate the corresponding Donaldson-Thomas weighted Euler characteristics (as well as the topological Euler characteristics). Furthermore, for blowup geometries, we discuss the contribution of exceptional curves.
DOI : 10.4171/dm/399
Classification : 14D20, 14N35
Mots-clés : moduli spaces of sheaves, Donaldson-Thomas invariants 
@article{10_4171_dm_399,
     author = {Dragos Oprea},
     title = {Framed sheaves over treefolds and symmetric obstruction theories},
     journal = {Documenta mathematica},
     pages = {323--342},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/399},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/399/}
}
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Dragos Oprea. Framed sheaves over treefolds and symmetric obstruction theories. Documenta mathematica, Tome 18 (2013), pp. 323-342. doi: 10.4171/dm/399

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