Rational homotopy type of nilpotent and complete spaces
Re-establishing supersymmetry between harmonic oscillators in dimensions
Remark on a conjecture of conformal transformations of Riemannian manifolds
Remarks on canonical commutation relations
Remarks on CR-manifolds of codimension in
The aim of the article is to give a conceptual understanding of Kontsevich’s construction of the universal element of the cohomology of the coarse moduli space of smooth algebraic curves with given genus and punctures. In a first step the author presents a toy model of tree graphs coloured by an operad for which the graph complex and the universal cycle will be constructed. The universal cycle has coefficients in the operad for -algebras with trivial differential over the (dual) cobar construction...
Remarks on development of curves
Remarks on the Schouten-Nijenhuis bracket
Representations, duals and quantum doubles of monoidal categories
[For the entire collection see Zbl 0742.00067.]The Tanaka-Krein type equivalence between Hopf algebras and functored monoidal categories provides the heuristic strategy of this paper. The author introduces the notion of a double cross product of monoidal categories as a generalization of double cross product of Hopf algebras, and explains some of the motivation from physics (the representation theory for double quantum groups).The Hopf algebra constructions are formulated in terms of monoidal categories...
Residues for monogenic forms on Riemannian manifolds
The paper extends the theory of residues on monogenic forms on domains in (monogenic forms are generalizations of holomorphic forms to Clifford analysis) to monogenic forms on orientable Riemann manifolds.
Restrictions of 3-forms in dimension 7 to subspaces of codimension 1
Riemann-Roch theorem after D. Toledo and Y.-L. Tong
Riemann-Roch theorem and Lie algebra cohomology