Palatini formulation of vielbein gravity.

• Alejandro Corichi, Irais Rubalcava-Garcia, Tatjana Vukasinac,  First order gravity: Action, topological terms and gravity, arXiv:1312.7828v2

Functional analysis - Micro local analysis

• Christian Brouder, Nguyen Viet Dang, Frédéric Hélein,  A smooth introduction to the wavefront set, arXiv:1404.1778v1
• Christian Brouder, Nguyen Viet Dang, Frédéric Hélein, Boundedness and continuity of the fundamental operations on distributions having a specified wave front set. (with a counter example by Semyon Alesker) arXiv:1409.7662v1

Note also the related work of Nguyen Viet Dang, in particular:

• Renormalization of quantum field theory on curved space-times, a causal approach arXiv:1312.5674v2
• Extension of distributions, scalings and renormalization of QFT on Riemannian manifolds arXiv:1411.3670v1
• The extension of distributions on manifolds, a microlocal approach arXiv:1412.2808v1

 

 

Multisymplectic geometry

• De León M., Salgado M., Vilariño S. Methods of Differential Geometry in Classical Field Theories: k-symplectic and
  k-cosymplectic approaches, (2014). ArXiv pre-print arXiv:1409.5604v1
• I.V. Kanatchikov Precanonical Quantization and the Schrödinger Wave Functional Revisited Adv. Theor. Math. Phys. 18 (2014) 1249-1265 arXiv:1112.5801v2
• I.V. Kanatchikov Ehrenfest Theorem in Precanonical Quantization J. Geom. Symmetry Phys. 37 (2015) 43-66 arXiv:1501.00480v2
• Frédéric Hélein, Multisymplectic formulation of Yang--Mills equations and Ehresmann connections arXiv:1406.3641v1