Perturbative quantum gauge theories on manifolds with boundary

K. O. Friedrichs, “Differential forms on Riemannian manifolds," Comm. Pure Appl. Math. 8

1955

Earlier work this paper cites.

C. B. Morrey, Jr., “A variational method in the theory of harmonic integrals, II," Amer. J. Math. 78

1956

Earlier work this paper cites.

J. Milnor, “A duality theorem for Reidemeister torsion,” Ann. Math. 76

1962

Earlier work this paper cites.

I. Gelfand, D. Kazhdan, “Some problems of differential geometry and the calculation of the cohomology of Lie algebras of vector fields,” Sov. Math. Dokl. 12

1971

Earlier work this paper cites.

D. B. Ray, I. M. Singer, “R-torsion and the Laplacian on Riemannian manifolds,” Adv. Math. 7, 145–210 (1971)

1971

Earlier work this paper cites.

I. A. Batalin, E. S. Fradkin, “A generalized canonical formalism and quantization of reducible gauge theories,” Phys. Lett. B 122

1977

Earlier work this paper cites.

A. S. Schwarz, “The partition function of degenerate quadratic functionals and Ray–Singer invariants,” Lett. Math. Phys. 2

1978

Earlier work this paper cites.

J. Cheeger, “Analytic torsion and the heat equation,” Ann. Math. 109

1979

Earlier work this paper cites.

I. A. Batalin, G. A. Vilkovisky, “Gauge algebra and quantization,” Phys. Lett. B, 102

1981

Earlier work this paper cites.

J. C. Collins, “Renormalization,” Cambridge University Press (1986)

1986

Earlier work this paper cites.

M. Atiyah, “Topological quantum field theories,” Inst. Hautes Etudes Sci. Publ. Math. 68

1988

Earlier work this paper cites.

G. Segal, “The definition of conformal field theory,” in: Differential geometrical methods in theoretical physics

1988

Earlier work this paper cites.

J. Fröhlich, C. King, “The Chern-Simons theory and knot polynomials,” Commun. Math. Phys. 126

1989

Earlier work this paper cites.

S. Axelrod, S. Della Pietra and E. Witten, “Geometric quantization of Chern Simons gauge theory,” Representations 34

1991

Earlier work this paper cites.

E. Witten, “On quantum gauge theories in two dimensions,” Commun. Math. Phys. 141

1991

Earlier work this paper cites.

S. Wu, “Topological quantum field theories on manifolds with a boundary,” Commun. Math. Phys. 136

1991

Earlier work this paper cites.

M. Kontsevich, “Vassiliev’s knot invariants,” Adv. Soviet Math. 16

1993

Earlier work this paper cites.

W. Lück, “Analytic and topological torsion for manifolds with boundary and symmetry,” J. Diff. Geom. 37

1993

Cited alongside, same era.

A. S. Schwarz, “Geometry of Batalin-Vilkovisky quantization,” Commun. Math. Phys. 155

1993

Cited alongside, same era.

S. Axelrod and I. M. Singer, “Chern–Simons perturbation theory,” in Proceedings of the XXth DGM Conference

1994

Cited alongside, same era.

W. Fulton and R. MacPherson, “A compactification of configuration spaces,” Ann. Math. 139

1994

Cited alongside, same era.

M. Kontsevich “Feynman Diagrams and Low-Dimensional Topology,” First European Congress of Mathematics, Paris 1992, Volume II, Progress in Mathematics

1994

Cited alongside, same era.

D. Bar-Natan, “On the Vassiliev Knot Invariants,” Topology 34

H. Khudaverdian, “Semidensities on odd symplectic supermanifolds,” Commun. Math. Phys. 247

2004

Later among the works it cites.

S. Cappell, D. DeTurck, H. Gluck and E. Y. Miller,“ Cohomology of harmonic forms on Riemannian manifolds with boundary," Forum Math. 18

2006

Later among the works it cites.

P. Ševera, “On the origin of the BV operator on odd symplectic supermanifolds,” Lett. Math. Phys. 78

2006

Later among the works it cites.

S. Stolz, P. Teichner, “Supersymmetric Euclidean field theories and generalized cohomology, a survey,” preprint, 2008

2008

Later among the works it cites.

S. Merkulov and B. Vallette, “Deformation theory of representations of prop(erad)s,” J. Reine Angew. Math. 634

2009

Later among the works it cites.