Results 91 to 100 of about 32,391 (228)
On the Hochschild cohomology theory of A∞-algebra
We will study the simplicial (co)homology for Hochschild complex for A∞–algebra with homotopical properties. The relations which relate a simplicial cohomology of commutative A∞-algebra and the set twisted cochain D(A, A), of this complex holds and ...
Alaa Hassan Noreldeen
doaj +1 more source
Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
Quasi-Elliptic Cohomology of 4-Spheres
It is a famous hypothesis that orbifold D-brane charges in string theory can be classified in twisted equivariant K-theory. Recently, it is believed that the hypothesis has a non-trivial lift to M-branes classified in twisted real equivariant 4 ...
Zhen Huan
doaj +1 more source
Modular analogs of character formulas and minimal lifts of modular forms
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source
Bott–Chern cohomology and q-complete domains [PDF]
In studying the Bott–Chern and Aeppli cohomologies for q-complete manifolds, we introduce the class of cohomologically Bott–Chern q-complete ...
Daniele Angella +3 more
core +1 more source
The probability of generating finite and profinite groups
Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
wiley +1 more source
The integer cohomology of toric Weyl arrangements [PDF]
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T(W) is the toric arrangement defined by the cocharacters lattice of a Weyl group W, then ...
Simona Settepanella
core
The cohomological supercharge [PDF]
12 pages, latex, no figures.
openaire +2 more sources
Symplectic manifolds and cohomological decomposition [PDF]
Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the $\mathfrak{sl}(2;\mathbb{R})$-representation yields a decomposition of the de Rham cohomology.
Daniele Angella +3 more
core
Cohomologies of certain orbifolds [PDF]
We study the Bott–Chern cohomology of complex orbifolds obtained as a quotient of a compact complex manifold by a finite group of ...
Angella, Daniele
core +1 more source

