53 citations · 175 across the 22 of their papers we have counts for
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Smooth moduli spaces of associative submanifolds
Damien Gayet
Let be a smooth manifold equipped with a -structure , and be an closed compact -associative submanifold. In \cite{McL}, R. McLean proved that the moduli spac…
Vanishing theorems for associative submanifolds
Damien Gayet
Let M^7 a manifold with holonomy in G_2, and Y^3 an associative submanifold with boundary in a coassociative submanifold. In [5], the authors proved that M_{X,Y}, the moduli space…
Deformations of associative submanifolds with boundary
Damien Gayet, Frederik Witt
Let be a topological -manifold. We prove that the space of infinitesimal associative deformations of a compact associative submanifold with boundary in a coassociative…
Seiberg-Witten invariants and real curves
Damien Gayet
On a compact oriented four-manifold with an orientation preserving involution c, we count solutions of Seiberg-Witten equations, which are moreover symmetrical in relation to c, to…