Armen SERGEEV

On moduli space of Yang-Mills gauge fields on $R^4$

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\title{ON THE MODULI SPACE OF YANG--MILLS FIELDS ON $\mathbb R^4$}

\author{Armen SERGEEV}
\address{Steklov Mathematical Institute, Moscow}
\email{sergeev@mi.ras.ru}

\maketitle

There is a well-known description of the moduli space of instantons
on $\mathbb R^4$ given by Atiyah--Drinfeld--Hitchin--Manin. In
contrast to that the structure of Yang--Mills gauge fields on
$\mathbb R^4$ remains to a large extent unknown. In particular,
there is no good twistor decription of this space. In our talk we
shall discuss the known facts and conjectures concerning the
structure of the Yang--Mills moduli space.

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