Dimension formula for regular J-holomorphic spheres (source code)

= Dimension formula for regular J-holomorphic spheres
{title2=$\dim_{\mathbb R}\mathcal M_A=2n+2c_1(A)-6$}

For a regular nonconstant <J-holomorphic sphere> in a $2n$-dimensional target, the parametrized <Fredholm index> is $2n+2c_1(A)$. Removing the six-dimensional <Möbius transformation> reparametrization group gives the displayed local moduli dimension. The quotient is a manifold for a <simple J-holomorphic sphere> and may be an orbifold for a multiple cover with finite stabilizer. In dimension four the formula is $2c_1(A)-2$.