2-plectic geometry, Courant algebroids, and categorified prequantization

J.-M. Souriau, Quantification géométrique: Applications, Ann. Inst. H. Poincaré Sect. A (N.S.)

1967

Earlier work this paper cites.

B. Kostant, Quantization and unitary representations, Lecture Notes in Math

1970

Earlier work this paper cites.

J. Kijowski, A finite-dimensional canonical formalism in the classical field theory, Commun. Math. Phys

1973

Earlier work this paper cites.

I. Ya. Dorfman, Dirac structures of integrable evolution equations, Phys. Lett. A

1987

Earlier work this paper cites.

K. Mackenzie, Lie groupoids and Lie algebroids in differential geometry

1987

Earlier work this paper cites.

J.-L. Brylinski, Noncommutative Ruelle-Sullivan type currents, in The Grothendieck Festschrift, Vol. I

1990

Earlier work this paper cites.

T. Courant, Dirac manifolds, Trans. Amer. Math. Soc

1990

Earlier work this paper cites.

J.-L. Brylinski, Loop Spaces, Characteristic Classes and Geometric Quantization

1993

Earlier work this paper cites.

I. Dorfman, Dirac structures and integrability of nonlinear evolution equations

1993

Earlier work this paper cites.

T. Lada and J. Stasheff, Introduction to sh Lie algebras for physicists, Int. Jour. Theor. Phys

1993

Earlier work this paper cites.

T. Lada and M. Markl, Strongly homotopy Lie algebras, Comm. Algebra

1995

Earlier work this paper cites.

Z-J. Liu, A. Weinstein, and P. Xu, Manin triples for Lie bialgebroids, J. Differential Geometry

1997

Cited alongside, same era.

D. Roytenberg and A. Weinstein, Courant algebroids and strongly homotopy Lie algebras, Lett. Math. Phys

1998

Cited alongside, same era.

A. Cannas da Silva and A. Weinstein, Geometric Models for Noncommutative Algebras

1999

Cited alongside, same era.

F. Cantrijn, A. Ibort, and M. De Leon, On the geometry of multisymplectic manifolds, J. Austral. Math. Soc. (Series A)

1999

Cited alongside, same era.

D. Roytenberg, Courant Algebroids, Derived Brackets and Even Symplectic Supermanifolds

1999

Cited alongside, same era.

F. Hélein, Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory, in Noncompact Problems at the Intersection of Geometry

P. Bressler and A. Chervov, Courant algebroids, J. Math. Sci. (N.Y.)

2005

Later among the works it cites.

U. Schreiber, From Loop Space Mechanics to Nonabelian Strings

2005

Later among the works it cites.

J. Baez and U. Schreiber, Higher gauge theory, in Categories in Algebra, Geometry and Mathematical Physics

2007

Later among the works it cites.

D. Roytenberg, On weak Lie 2-algebras, in: P. Kielanowski et al

Original

2007

Later among the works it cites.

N. Román-Roy, Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories, SIGMA

2009

Later among the works it cites.

J. Baez, A. Hoffnung, and C. Rogers, Categorified symplectic geometry and the classical string, Comm. Math. Phys