Barbero G., J. FernandoDíaz Jiménez, BogarMargalef Bentabol, JuanSánchez Villaseñor, Eduardo Jesús2021-04-052021-04-052019-10-09Barbero G., J.F., Díaz, B., Margalef-Bentabol, J. et al. Generalizations of the Pontryagin and Husain-Kuchař actions to manifolds with boundary. J. High Energ. Phys. 2019, 121 (2019)1029-8479https://hdl.handle.net/10016/32259In this paper we study a family of generalizations of the Pontryagin and Husain-Kuchaˇr actions on manifolds with boundary. In some cases, they describe well known models — either at the boundary or in the bulk — such as 3-dimensional Euclidean general relativity with a cosmological constant or the Husain-Kuchaˇr model. We will use Hamiltonian methods in order to disentangle the physical and dynamical content of the systems that we discuss here. This will be done by relying on a geometric implementation of the Dirac algorithm in the presence of boundaries recently proposed by the authors.eng© The AuthorsAtribución 3.0 EspañaClassical theories of gravityGauge symmetryTopological field theoriesresearch articleMaterialeshttps://doi.org/10.1007/JHEP10(2019)121open access121Journal of High energy Physics10AR/0000024019