Title: $L_\infty$ algebras and Donaldson-Thomas invariants.

Abstract: We define the notion of cyclic differential graded Lie algebras. 
By transfer theorem the cohomology $H(L)$ of a cyclic differential graded 
Lie algebra $L$ has a cyclic $L_\infty$-algebra structure. We prove that 
there is a potential function $W: H^1(L)-->\C$ such that the moduli space 
associated to the deformation of $L$ is the critical locus of the 
differential $dW$. The Milnor number of $L$ is defined to be the Milnor 
number of the function $W$.

As an application, the Donaldson-Thomas differential graded Lie algebra is 
a cyclic differential graded Lie algebra of dimension 3. The pointed 
Donaldson-Thomas invariant is the Milnor number of this cyclic 
differential graded Lie algebra.