Martin Benito, M.Garay Elizondo, Luis JavierMena Marugán, Guillermo A.Wilson-Ewing, E.2023-06-202023-06-202012[1] Bojowald M 2008 Loop quantum cosmology Living Rev. Rel. 11 4 [2] Ashtekar A and Singh P 2011 Loop quantum cosmology: a status report Preprint arXiv:1108.0893 [3] Banerjee K, Calcagni G and Martín-Benito M 2011 Introduction to loop quantum cosmology Preprint arXiv:1109.6801 [4] Thiemann T 2007 Modern canonical quantum general relativity (Cambridge: Cambridge University Press) [5] Ashtekar A, Paw lowski T and Singh P 2006 Quantum nature of the big bang: improved dynamics, Phys. Rev. D 74 084003 [6] Garay L J, Martín-Benito M and Mena Marugán G A 2010 Phys. Rev. D 82 044048 [7] Martín-Benito M, Mena Marugán G A and Wilson-Ewing E 2010 Phys. Rev. D 82 084012 [8] Ashtekar A and Wilson-Ewing E 2009 Phys. Rev. D 79 0835351742-658810.1088/1742-6596/360/1/012031https://hdl.handle.net/20.500.14352/44516© IOP Publishing Ltd. International Conference on Non-Perturbative/Background Independent Quantum Gravity (LOOPS) (2011.Madrid). This work was in part supported by the Spanish MICINN Projects No. FIS2008-06078-C03-03, No. FIS2011-30145-C03-02, and the Consolider-Ingenio Program CPAN No. CSD2007-00042.We complete the canonical quantization of the vacuum Bianchi I model within the improved dynamics scheme of loop quantum cosmology, characterizing the Hilbert structure of the physical states and providing a complete set of observables acting on them. In order to achieve this task, it has been essential to determine the structure of the separable superselection sectors that arise owing to the polymeric quantization, and to prove that the initial value problem obtained when regarding the Hamiltonian constraint as an evolution equation, interpreting the volume as the evolution parameter, is well-posed.engAtribución 3.0 Españajournal articlehttp://dx.doi.org/10.1088/1742-6596/360/1/012031http://iopscience.iop.orgopen access51-73Física-Modelos matemáticosFísica matemática