Results 71 to 80 of about 316 (182)

Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3597-3613, November 2025.
Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi, Louis‐Hadrien Robert, Joshua Sussan, Emmanuel Wagner   +3 more
wiley   +1 more source

Difference equations: From Berry connections to the Coulomb branch

SciPost Physics
In recent work, we demonstrated that a spectral variety for the Berry connection of a 2d $\mathcal{N}=(2,2)$ GLSM with Kähler vacuum moduli space $X$ and Abelian flavour symmetry is the support of a sheaf induced by a certain action on the equivariant ...
Andrea E. V. Ferrari, Daniel Zhang
doaj   +1 more source

The Global Symmetry Group of Quantum Spectral Beams and Geometric Phase Factors

Advances in Mathematical Physics, 2015
We propose a cohomological modelling schema of quantum state spaces and their connectivity structures in relation to the formulation of global geometric phase phenomena. In the course of this schema, we introduce the notion of Hermitian differential line
Elias Zafiris
doaj   +1 more source

Quantum cohomology of flag manifolds

Advances in Mathematics, 2003
The (small) quantum cohomology ring of a flag manifold F encodes enumerative geometry of rational curves on F. We give a proof of the presentation of the ring and of a quantum Giambelli formula, which is more direct and geometric than the previously known proof.
openaire   +3 more sources

On Quantum Cohomology

, 1996
We discuss a general quantum theoretical example of quantum cohomology and show that various mathematical aspects of quantum cohomology have quantum mechanical and also observable significance.
openaire   +2 more sources

Axiomatic Quantum Field Theory in Terms of Operator Product Expansions: General Framework, and Perturbation Theory via Hochschild Cohomology

Symmetry, Integrability and Geometry: Methods and Applications, 2009
In this paper, we propose a new framework for quantum field theory in terms of consistency conditions. The consistency conditions that we consider are ''associativity'' or ''factorization'' conditions on the operator product expansion (OPE) of the theory,
Stefan Hollands
doaj   +1 more source

Cohomology of Infinitesimal Quantum Algebras

Journal of Algebra, 2000
In this very technically written paper the author shows an isomorphism between two functors defined by the quantum Frobenius homomorphism, which enables the definition of the Frobenius homomorphism in the cohomology of infinitesimal quantum algebras.
openaire   +1 more source

(2, 2) geometry from gauge theory

Journal of High Energy Physics, 2018
Using gauge theory, we describe how to construct generalized Kähler geometries with (2, 2) two-dimensional supersymmetry, which are analogues of familiar examples like projective spaces and Calabi-Yau manifolds. For special cases, T-dual descriptions can
João Caldeira, Travis Maxfield, Savdeep Sethi   +2 more
doaj   +1 more source

Crystallography, group cohomology, and Lieb–Schultz–Mattis constraints

SciPost Physics
We compute the mod-2 cohomology ring for three-dimensional (3D) space groups and establish a connection between them and the lattice structure of crystals with space group symmetry.
Chunxiao Liu, Weicheng Ye
doaj   +1 more source

Tangency quantum cohomology [PDF]

Compositio Mathematica, 2004
Let X be a smooth projective variety. Using modified psi classes on the stack of genus zero stable maps to X, a new associative quantum product is constructed on the cohomology space of X. When X is a homogeneous variety, this structure encodes the characteristic numbers of rational curves in X, and specialises to the usual quantum product upon ...
openaire   +2 more sources