Results 111 to 120 of about 52,691 (210)

WDVV‐based recursion for open Gromov–Witten invariants

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley   +1 more source

Topological Field Theory and Nonlinear $\sigma$-Models on Symmetric Spaces

, 1995
We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmetric spaces.
Martina, L., Pashaev, O. K., Soliani, G.
core  

Chern connections and Chern curvature of the tangent bundle of almost complex manifolds

, 2004
The $\bar{\partial}_{_{J}}$ operator over an almost complex manifold induces canonical connections of type $(0,1)$ over the bundles of $(p,0)$-forms. If the almost complex structure is integrable then the previous connections induce the canonical holomorphic structures of the bundles of $(p,0)$-forms.
openaire   +3 more sources

GENERALIZED ABELIAN CHERN-SIMONS THEORIES AND THEIR CONNECTION TO CONFORMAL FIELD THEORIES [PDF]

International Journal of Modern Physics A, 1992
We discuss the generalization of Abelian Chern-Simons theories when θ-angles and magnetic monopoles are included. We map these three dimensional theories into sectors of two-dimensional conformal field theories. The introduction of θ-angles allows us to establish in a consistent fashion a connection between Abelian Chern-Simons and 2-d free scalar ...
openaire   +2 more sources

Flat connections in three-manifolds and classical Chern–Simons invariant

Nuclear Physics B, 2017
26 pages, 13 ...
Enore Guadagnini, Philippe Mathieu, Frank Thuillier   +2 more
openaire   +6 more sources

The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory

, 2014
We give a direct calculation of the curvature of the Hitchin connection, in geometric quantization on a symplectic manifold, using only differential geometric techniques. In particular, we establish that the curvature acts as a first-order operator on the quantum spaces.
Andersen, Jørgen Ellegaard, Gammelgaard, Niels Leth   +1 more
openaire   +3 more sources

Narain CFTs from quantum codes and their $${\mathbb{Z}}_{2}$$ gauging

Journal of High Energy Physics
We investigate the gauging of a $${\mathbb{Z}}_{2}$$ symmetry in Narain conformal field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and fermionization, we establish a connection between $${\mathbb{Z}}_{2}$$ gauging ...
Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda   +2 more
doaj   +1 more source

A note on the Gauss–Bonnet–Chern theorem for general connection

Journal of Geometry and Physics, 2015
In this paper, we prove a local index theorem for the DeRham Hodge-laplacian which is defined by the connection compatible with metric. This connection need not be the Levi-Civita connection. When the connection is Levi-Civita connection, this is the classical local Gauss-Bonnet-Chern theorem.
openaire   +3 more sources

1-loop renormalisability of integrable sigma-models from 4d Chern-Simons theory

Journal of High Energy Physics
Large families of integrable 2d σ-models have been constructed at the classical level, partly motivated by the utility of integrability on the string worldsheet.
Sylvain Lacroix, Nat Levine, Anders Wallberg   +2 more
doaj   +1 more source

On the induced connection on sections of Toeplitz operators

Modern Mathematical Methods
The purpose of the present article is to show that an upper bound of the induced connection on sections of Toeplitz operators is bounded by a function of the Hankel and of the Toeplitz operators on a weighted Hilbert Bergman space on a bounded domain of ...
Mohammed El Aïdi
doaj