Principais tópicos de pesquisa / Main research topics |
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Instanton sheaves and sheaves on 3-folds
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Monads, ADHM, and representations of quivers
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Gauge theory and the spectrum of Dirac operators |
10 mais relevantes / 10 most relevant
(chronological order)
Codimension 1 holomorphic distributions on the projective 3-space,
with Omegar Calvo-Andrade, Maurício Corrêa Jr.
To appear in IMRN (2018)
Moduli spaces of rank 2 instanton sheaves on the projective space,
with Mario Maican, Alexander S. Tikhomirov.
Pacific J. Math. 291 (2017), 399-424.
Two infinite series of moduli spaces of rank 2 sheaves on P3,
with Dimitri Markushevich, Alexander S. Tikhomirov.
Ann. Mat. Pura Appl. 196 (2017), 1573-1608.
Trihyperkahler reduction and instanton bundles on CP3,
with Misha Verbitsky.
Compositio Math. 150 (2014), 1836–1868.
Moduli spaces of self-dual connections over asymptotically locally flat gravitational instantons,
with Gábor Etesi.
Comm. Math. Phys. 280 (2008), 285–313.
Erratum:Comm. Math. Phys. 288 (2009), 799–800.
Complex ADHM equations and sheaves on P3,
with Igor B. Frenkel.
J. Algebra 319 (2008), no. 7, 2913–2937.
On the semistability of instanton sheaves over certain projective varieties,
with Rosa M Miró-Roig.
Comm. Algebra 36 (2008), no. 1, 288–298.
Instanton sheaves on complex projective spaces.
Collect. Math. 57 (2006), 69–91.
Asymptotic behaviour and the moduli space of doubly-periodic instantons,
with Olivier Biquard.
J. Eur. Math. Soc. 3 (2001), 335–375.
Construction of doubly-periodic instantons.
Comm. Math. Phys. 216 (2001), 1–15.
Lista completa / Complete list (pdf)
Reviews written for the Mathematical Reviews.
Algebraic
Geometry, Integrable Systems and Gauge Theory
Special
session on the AMS 2003 Spring Eastern Section Meeting
April
12-13, Courant Institute, New York.
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Last Modified 03 Oct 2018