Results 51 to 60 of about 3,692,977 (264)

Chern-Simons type characteristic classes of Abelian lattice gauge theory

Physics Letters B
In this paper, we extend the definition of the Chern-Simons type characteristic classes in the continuous case to Abelian lattice gauge theory. Then, we show that the exterior differential of the k-th Chern-Simons type characteristic class is exactly ...
Mengyao Wu, Jie Yang
doaj   +1 more source

New T-duality for Chern-Simons theory

Journal of High Energy Physics, 2019
It has recently pointed out that a four-dimensional analog of Chern-Simons theory provides an elegant framework for understanding integrable models with spectral parameters.
Masahito Yamazaki
doaj   +1 more source

The colored Jones polynomials as vortex partition functions

Journal of High Energy Physics, 2021
We construct 3D N $$ \mathcal{N} $$ = 2 abelian gauge theories on S $$ \mathbbm{S} $$ 2 × S $$ \mathbbm{S} $$ 1 labeled by knot diagrams whose K-theoretic vortex partition functions, each of which is a building block of twisted indices, give the colored ...
Masahide Manabe, Seiji Terashima, Yuji Terashima   +2 more
doaj   +1 more source

Non-K\"ahler Calabi-Yau manifolds

, 2015
We study the class of compact complex manifolds whose first Chern class vanishes in the Bott-Chern cohomology. This class includes all manifolds with torsion canonical bundle, but it is strictly larger.
Tosatti, Valentino
core   +1 more source

The Chern classes of Sobolev connections [PDF]

Communications in Mathematical Physics, 1985
Assuming that F is the curvature (field) of a connection (potential) on \(R^ 4\) with finite \(L^ 2\) norm, the author proves that the Chern number \(c_ 2=1/8\pi^ 2\int_{R^ 4}F\wedge F\) (topological quantum number) is an integer. This generalizes previous results which showed that the integrality holds for F satisfying the Yang-Mills equations ...
openaire   +4 more sources

Continuity Equation of Transverse Kähler Metrics on Sasakian Manifolds

Mathematics
We introduce the continuity equation of transverse Kähler metrics on Sasakian manifolds and establish its interval of maximal existence. When the first basic Chern class is null (resp. negative), we prove that the solution of the (resp.
Yushuang Fan, Tao Zheng
doaj   +1 more source

Symplectic structure free Chern-Simons Theory

, 1998
The second class constraints algebra of the abelian Chern-Simons theory is rigorously studied in terms of the Hamiltonian embedding in order to obtain the first class constraint system.
Banerjee R, Batalin I A, Bañados M, Carlip S Lectures on (2 + 1) dimensional gravity, Deser S, Dirac P A M, Henneaux M, Kim W T, Pasti P, Stückelberg E G, Witten E, Won Tae Kim, Yong-Wan Kim, Young-Jai Park   +13 more
core   +1 more source

Chern classes for singular hypersurfaces [PDF]

Transactions of the American Mathematical Society, 1999
We prove a simple formula for MacPherson's Chern class of hypersurfaces in nonsingular varieties. The result highlights the relation between MacPherson's class and other definitions of homology Chern classes of singular varieties, such as Mather's Chern class and a class introduced by W. Fulton.
openaire   +5 more sources

Chern-Dirac bundles on non-K\"ahler Hermitian manifolds

, 2017
We introduce the notions of Chern-Dirac bundles and Chern-Dirac operators on Hermitian manifolds. They are analogues of classical Dirac bundles and Dirac operators, with Levi-Civita connection replaced by Chern connection.
Pediconi, Francesco
core   +1 more source

Residues of Chern classes

Journal of the Mathematical Society of Japan, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +5 more sources