Results 21 to 30 of about 27,493 (74)

Gauged WZW Models Via Equivariant Cohomology

, 2010
The problem of computing systematically the gauge invariant extension of WZW term through equivariant cohomology is addressed. The analysis done by Witten in the two-dimensional case is extended to the four-dimensional ones.
Garcia-Compean, Hugo, Paniagua, Pablo
core   +1 more source

A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds

, 2018
A vector bundle E on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. A theorem of Nori implies that E is finite if and only if the pullback of E to some finite etale Galois covering of ...
Biswas, Indranil, Pingali, Vamsi Pritham
core   +1 more source

Primary characteristic homomorphism of pairs of Lie algebroids and Mackenzie algebroid

, 2001
Connections for a pair of Lie algebroids are defined as linear homomorphisms between these Lie algebroids, commuting with the anchors. The primary characteristic homomorphism of a pair of Lie algebroids is defined and compared with other known Chern-Weil
Bogdan Balcerzak, Jan Kubarski, W. Walas
semanticscholar   +1 more source

L-infinity algebra connections and applications to String- and Chern-Simons n-transport

, 2008
We give a generalization of the notion of a Cartan-Ehresmann connection from Lie algebras to L-infinity algebras and use it to study the obstruction theory of lifts through higher String-like extensions of Lie algebras. We find (generalized) Chern-Simons
A. Asada, A. Borel, A. Carey, A. Carey, A. Clingher, A. Kapustin, D.S. Freed, E. Bergshoeff, E. Bergshoeff, E. Diaconescu, E. Witten, F. Girelli, I. Kriz, J. Baez, J. Baez, J. Cheeger, J. Kalkman, J. Mickelsson, J.-L. Brylinski, J.A. Dixon, K. Kuribayashi, L. Bonora, L. Breen, L. Castellani, M. Murray, M. Murray, M.B. Green, M.J. Hopkins, P. Aschieri, P. Bouwknegt, P. Bouwknegt, P. Horava, R. Coquereaux, R. Percacci, S. Halperin, St. Stolz, Sullivan, T. Lada, T. Lada, T.P. Killingback, V. Mathai, W. Greub   +41 more
core   +2 more sources

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

Families of singular algebraic varieties that are rationally elliptic spaces

Mathematische Nachrichten, Volume 299, Issue 1, Page 214-223, January 2026.
Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
wiley   +1 more source

A bigraded version of the Weil algebra and of the Weil homomorphism for Donaldson invariants

, 1994
We describe a bigraded generalization of the Weil algebra, of its basis and of the characteristic homomorphism which besides ordinary characteristic classes also maps on Donaldson invariants.Comment: 19 ...
Atiyah, Baulieu, Becchi, Birmingham, Cartan, Donaldson, Dubois-Violette, Dubois-Violette, Dubois-Violette, Greub, Kalkman, Michel Dubois-Violette, Ouvry, Weil, Witten   +14 more
core   +1 more source

On the paper “Bundle gerbes” by Michael Murray

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The article gives a brief survey of Murray's notion of bundle gerbes as introduced in his 1996 paper published in the Journal of the London Mathematical Society, together with some of its applications.
Nigel Hitchin
wiley   +1 more source

Theta divisors and permutohedra

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley   +1 more source

Minimal projective varieties satisfying Miyaoka's equality

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai, Shin‐ichi Matsumura, Niklas Müller   +2 more
wiley   +1 more source