Morphisms of Cohomological Field Theories
نویسندگان
چکیده
We introduce a notion of morphism of CohFT’s, on the basis of the analogy with A∞ morphisms, and discuss the relationship with morphisms of F -manifolds introduced by Manin and Hertling [5]. The structure maps of a morphism of CohFT’s have as input a cohomology class on the moduli space of scaled affine lines (complexified multiplihedron) studied in Ma’u-Woodward [9]. The main result is a computation of the space of Cartier divisors on this moduli space; these appear in the splitting axiom.
منابع مشابه
From torsion theories to closure operators and factorization systems
Torsion theories are here extended to categories equipped with an ideal of 'null morphisms', or equivalently a full subcategory of 'null objects'. Instances of this extension include closure operators viewed as generalised torsion theories in a 'category of pairs', and factorization systems viewed as torsion theories in a category of morphisms. The first point has essentially been treated in [15].
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