BATALIN-VILKOVISKY ALGEBRAS AND THE J-HOMOMORPHISM

I show, in particular, that the algebras over the Feynman transform of an arbi- trary twisted modular operad P are in one-to-one correspondence with solutions to quantum master

The study of this dendriform structure is postponed to the appendix, as well as the enumeration of partitioned trees; we also prove that free Com-Prelie algebras are free as

Any TCFT (Topological Conformal Field Theory) carries a homotopy BV -algebra structure which lifts the BV-algebra structure of Getzler on its homology. ⇒ Purely algebraic description

More precisely, we show that the stabilisers of Topological Field Theories in genus 0 (respectively in genera 0 and 1) are in one-to-one correspondence with commutative

We apply the general obstruction theory to prove an extended version of Lian–Zuckerman conjecture: any topological vertex operator algebra, with N -graded conformal weight, admits a

(Over the complex numbers, in particular in the holomorphic context, there will in general be obstructions to the existence of such a flat connection.) Hence A has a right

This Lie algebra is therefore free, and its quotient is A/(a). This proves the theorem.. Under the hypothesis of Theorem 2, we show that d 2 = 0 and that the spectral

— The set Cp(W) can be identified with the subset of Mp(V) consisting of all minimal algebras with pure quadratic differential in the natural way. Under this identification Fp acts