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SUMMARY:Henrique N. Sá Earp (Universidade Estadual de Campinas)
DTSTART:20201008T190000Z
DTEND:20201008T200000Z
DTSTAMP:20260423T052807Z
UID:SGFM/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SGFM/11/">In
 stantons on Sasakian 7-manifolds</a>\nby Henrique N. Sá Earp (Universidad
 e Estadual de Campinas) as part of Seminario de Geometría y Física - Mat
 emática UCN-USP\n\n\nAbstract\nWe study a natural contact instanton (CI) 
 equation on gauge fields over $7$-dimensional Sasakian manifolds\, which i
 s closely related both to the transverse Hermitian Yang-Mills (tHYM) condi
 tion and the $G_2$-instanton equation. We obtain\, by Fredholm theory\, a 
 finite-dimensional local model for the moduli space of irreducible solutio
 ns. We derive cohomological conditions for smoothness\, and we express its
  dimension in terms of the index of a transverse elliptic operator. Finall
 y we show that the moduli space of self dual contact instantons (ASDI) is 
 Kähler\, in the Sasakian case. As an instance of concrete interest\, we s
 pecialise to transversely holomorphic Sasakian bundles over contact Calabi
 -Yau $7$-manifolds\, and we show that\, in this context\, the notions of c
 ontact instanton\, integrable $G_2$-instanton and HYM connection coincide.
 \n
LOCATION:https://researchseminars.org/talk/SGFM/11/
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