In mathematics, a bundle gerbe is a geometrical model of certain 1-gerbes with connection, or equivalently of a 2-class in Deligne cohomology. U ( 1 )...

They can be seen as an analogue of fibre bundles where the fibre is the classifying stack of a group. Gerbes provide a convenient, if highly abstract...

player Zéphirin Gerbe (1810-1890) French naturalist Gerbe's Vole (Microtus gerbei), a species of rodent in the family Cricetidae Bundle gerbe This disambiguation...

classifies line bundle gerbes. Wang sequence "Is every orientable circle bundle principal? - MathOverflow". Chern, Shiing-shen (1977), "Circle bundles", Lecture...

In mathematics, an essentially finite vector bundle is a particular type of vector bundle defined by Madhav V. Nori, as the main tool in the construction...

compared with ordinary Deligne cohomology on complex analytic varieties. Bundle gerbe Motivic cohomology Hodge structure Intermediate Jacobian Hopkins, Michael...

associated line bundle can be reconstructed. A gerbe is a stack in groupoids that is locally nonempty, for example the trivial gerbe B G {\displaystyle...

homotopy fiber. Gerbe N-group (category theory) Elliptic cohomology String bordism Jurco, Branislav (August 2011). "Crossed Module Bundle Gerbes; Classification...

denotes the magnetic field strength). Mathematically the B-field is a gerbe or bundle gerbe over spacetime, which means B {\displaystyle B} consists of a collection...

\mathbb {Z} )} , to construct gerbes on a complex torus Block, Jonathan; Daenzer, Calder (2008). "Mukai duality for gerbes with connection". Crelle's Journal...

hypercohomology spectral sequences are in the study of gerbes. Recall that rank n vector bundles on a space X {\displaystyle X} can be classified as the...

problem are nontrivial. K-theory (physics) Wess–Zumino–Witten model Bundle gerbe Donavan, Peter; Karoubi, Max (1970). "Graded Brauer groups and $K$-theory...

after Kevin Corlette and Carlos Simpson) is a correspondence between Higgs bundles and representations of the fundamental group of a smooth, projective complex...

twisted Chern class defined in Twisted K-theory and the K-theory of Bundle Gerbes by Peter Bouwknegt, Alan L. Carey, Varghese Mathai, Michael K. Murray...

but still isolated. List of human cell types derived from the germ layers Gerbe F, Jay P (November 2016). "Intestinal tuft cells: epithelial sentinels linking...

Descent (category theory) Grothendieck's Galois theory Algebraic stack Gerbe Étale cohomology Motive (algebraic geometry) Motivic cohomology A¹ homotopy...

X\to X} is a gerbe. A theorem of Giraud says that H 2 ( X , S 1 ) {\displaystyle H^{2}(X,S^{1})} corresponds one-to-one to the set of gerbes over X {\displaystyle...

group scheme G is a good quotient such that the fibers are orbits. gerbe A gerbe is (roughly) a stack that is locally nonempty and in which two objects...

from an operation on the tangent bundle to an operation on the direct sum of the tangent bundle and the vector bundle of p-forms. The case p = 1 {\displaystyle...

line bundle (for example, any quasi-projective scheme over a commutative ring). The whole group H 2(X, Gm) can be viewed as classifying the gerbes over...

the American Mathematical Society. With Tony Pantev: Torus fibrations, Gerbes and duality, Memoirs AMS 2008 Editor with Mauro Francaviglia: Integrable...

degrees 0 {\displaystyle 0} and 1 {\displaystyle 1} . ∞-groupoid n-group Gerbe Jibladze, Mamuka; Pirashvili, Teimuraz (2011-06-28). "Cohomology with coefficients...

Retrieved December 16, 2012. "Walmart Pushing Limited $199 Kinect Pre-Order Bundle". PC World. July 14, 2010. Archived from the original on July 18, 2010....

conjectures with Masaki Kashiwara. He has also worked on gerbes, cyclic homology, Quillen bundles, and geometric class field theory, among other geometric...

books are exclusive to Costco members. The retailer sells audiobooks in bundles grouped by genre or author, with prices ranging from $5 to $50. Audiobooks...

but probably should be attributed to a number of authors). Coherent sheaf Gerbe Stack (mathematics) Sheaf of spectra Perverse sheaf Presheaf of spaces Constructible...

presentation, the stack B G {\displaystyle BG} is algebraictheorem 6.1. Gerbe Chow group of a stack Cohomology of a stack Quotient stack Sheaf on an algebraic...

obstruction to the Hasse principle is defined using the Brauer group of schemes. Gerbe Class field theory Algebraic K-theory Motivic cohomology Norm residue isomorphism...

mât Occ. mast manipulos bundles.ACC PR. */maˈnʊkli/nom OFr. manoil OIt. manocchi Ro. mănuchi garbas Frankish *garba. Fr. gerbes Occ. garbas Cat. garbes...

manipulate morphisms in a monoidal category 1971 Jean Giraud Gerbes: Categorified principal bundles that are also special cases of stacks 1971 Joachim Lambek...