In many areas of mathematics some “higher operations” are arising. These havebecome so
important that several research projects refer to such expressions. Higher operationsform …

Galois explained to us that operations acting on the solutions of algebraic equations are
mathematical objects as well. The notion of an operad was created in order to have a well …

Steenrod defined in 1947 the Steenrod squares on the mod 2 cohomology of spaces using
explicit cochain formulae for the cup-i products; a family of coherent homotopies derived …

The Python package ComCH, is a lightweight specialized computer algebra system that
provides models for well-known objects, the surjection and Barratt-Eccles operads …

We show that the Chas–Sullivan loop product, a combination of the Pontrjagin product on
the fiber and the intersection product on the base, makes sense on the total space homology …

Using a cell model for the little discs operad in terms of spineless cacti we give a minimal
common topological operadic formalism for three a priori disparate algebraic structures:(1) a …

We use chain-level genus-zero Gromov–Witten theory to associate to any closed monotone
symplectic manifold a formal group (loosely interpreted), whose Lie algebra is the odd …

In this paper we describe complexes whose homologies are naturally isomorphic to the first
term of the Vassiliev spectral sequence computing (co) homology of the spaces of long knots …

We extend the definition of tridendriform bialgebra by introducing a parameter q. The
subspace of primitive elements of a q-tridendriform bialgebra is equipped with an …

We define a new $ E_ {\infty} $ operad based on surfaces with foliations which contains $
E_k $ sub-operads. We construct CW models for these operads and provide applications of …