ADHM CONSTRUCTION OF PERVERSE INSTANTON SHEAVES

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Abstract

We present a construction of framed torsion free instanton sheaves on a projective variety containing a fixed line which further generalises the one on projective spaces. This is done by generalising the so called ADHM variety. We show that the moduli space of such objects is a quasi projective variety, which is fine in the case of projective spaces. We also give an ADHM categorical description of perverse instanton sheaves in the general case, along with a hypercohomological characterisation of these sheaves in the particular case of projective spaces.

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Henni, A. A., Jardim, M., & Martins, R. V. (2015). ADHM CONSTRUCTION OF PERVERSE INSTANTON SHEAVES. Glasgow Mathematical Journal, 57(2), 285–321. https://doi.org/10.1017/S0017089514000305

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