biblio.bib

@book{rov1,
  title={Quantum Gravity},
  author={Rovelli, Carlo},
  year={2004},
  publisher={Cambridge Monographs on Mathematical Physics}
}

@book{rov2,
  title={Covariant Loop Quantum Gravity -- An elementary introduction to Quantum Gravity and Spinfoam Theory
},
  author={Carlo Rovelli \& Francesca Vidotto},
  year={2015},
  publisher={Cambridge University Press}
}


@book{baez,
  title={Gauge fields, knots and gravity},
  author={John Baez \& Javier P. Muniain},
  year={1994},
  publisher={World Scientific Publishing Co.}
}

@book{spin,
  title={Spin Geometry},
  author={Lawson H. Blaine \& Michelsohn Marie--Louise},
  year={1989},
  publisher={Princeton University Press. ISBN 978-0-691-08542-5.}
}

@book{princ1,
  title={Principal Bundles: The Classical Case},
  author={Stephen Bruce Sontz},
  year={2015},
  publisher={Springer International Publishing}
}

@book{princ2,
  title={Principal Bundles: The Quantum Case},
  author={Stephen Bruce Sontz},
  year={2015},
  publisher={Springer International Publishing}
}

@book{spinor,
  title={Classifying Spinor Structures},
  author={Scott Morrison},
  year={2001},
  publisher={https://arxiv.org/pdf/math-ph/0106007.pdf}
}

@book{gockeler,
  title={Differential Geometry, Gauge Theories, and Gravity},
  author={M. Göckeler \& T. Schücker},
  year={1989},
  publisher={Cambridge University Press}
}

@book{jadwisin,
  title={Deformations of spin structures and gravity},
  author={L. Fatibene \& M. Francaviglia},
  address={Torino, Italy},
  publisher={
Dipartimento di Matematica, Università di Torino, via C. Alberto 10, 10123}
}

@book{pullin,
  title={A first course in Loop Quantum Gravity},
  author={Rodolfo Gambini \& Jorge Pullin},
  year={2011},
  publisher={
Oxford University Press}
}

@book{pullin2,
  title={Loops, Knots, Gauge Theories and Quantum Gravity},
  author={Rodolfo Gambini \& Jorge Pullin},
  year={2021},
  publisher={
Cambridge Monographs on Mathematical Physics}
}


@book{lqgfe,
  title={Loop Quantum Gravity For Everyone},
  author={Rodolfo Gambini \& Jorge Pullin},
  year={2020},
  publisher={
World Scientific}
}

@book{FFR1,
  title={On a Covariant Formulation of the Barbero--Immirzi Connection},
  author={L. Fatibene, M. Francaviglia, C. Rovelli},
  year={2007},
  publisher={
https://arxiv.org/abs/gr-qc/0702134v1}
}

@book{OF1,
  title={Barbero-–Immirzi connections and how to build them
},
  author={A. Orizzonte \& L. Fatibene},
  year={2020},
  publisher={
https://arxiv.org/abs/2010.07725v1}
}

@book{FF,
  title={Spin structures on manifolds and Ashtekar variables},
  author={L. Fatibene \& M. Francaviglia},
  year={2005},
  publisher={
World Scientific}
}

@book{FFR2,
  title={Spacetime Lagrangian Formulation of Barbero--Immirzi Gravity},
  author={L. Fatibene, M. Francaviglia, C. Rovelli},
  year={2007},
  publisher={
https://arxiv.org/abs/0706.1899v1}
}

@book{Orizzonte,
  title={Barbero-–Immirzi–Holst Lagrangian with Spacetime Barbero Immirzi Connections},
  author={A. Orizzonte},
  year={2022},
  publisher={
https://arxiv.org/abs/2210.15367v1}
}

@book{50idee,
  title={50 grandi idee. Fisica quantistica},
  author={Joanne Baker},
  year={2013},
  publisher={
Edizioni Dedalo}
}

@book{kobayashi1,
  title={Foundations of Differential Geometry, vol. I},
  author={Katsumi Nomizu \& Shoshichi Kobayashi},
  year={1963},
  publisher={
Interscience Publishers}
}

@book{kobayashi2,
  title={Foundations of Differential Geometry, vol. II},
  author={Katsumi Nomizu \& Shoshichi Kobayashi},
  year={1969},
  publisher={
Interscience Publishers}
}

@book{dirac,
  title={Lectures in Quantum Mechanics},
  author={P. A. M. Dirac},
  year={1964},
  publisher={Yeshiva University Belfer Graduate School of Science Monographs, No. 2}
}

@book{pathint2,
  title={
Functional integration and quantum physics},
  author={Barry Simon},
  year={1979},
  publisher={AMS Chelsea Publishing}
}

@book{pathint1,
  title={
Quantum Mechanics and Path Integrals},
  author={R. P. Feynmann \& A. R. Hibbs},
  year={1965},
  publisher={McGrow--Hill, New York}
}

@book{talagrand,
  title={What Is a Quantum Field Theory? A First Introduction for Mathematicians},
  author={Michel Talagrand},
  year={2022},
  publisher={Cambridge University Press}
}

@book{peskin,
  title={An Introduction to Quantum Field Theory},
  author={Michael E. Peskin \& Daniel V. Schroeder},
  year={1995},
  publisher={Westview Press}
}

@book{kertsh,
  title={The Principle of Relativity. A Collection of Original Papers on the Special and General Theory of Relativity},
  author={H.A. Lorentz, A. Einstein, H. Minkowski H. Weyl A. Sommerfeld},
  year={1952},
  publisher={Dover Publications, Inc.}
}


@book{natural_operations,
  title={Natural Operations in Differential Geometry},
  author={Ivan Kolář, Jan Slovák  Peter W. Michor},
  year={1993},
  publisher={Springer}
}

@book{giulini,
  title={Some remarks on the notions of general covariance and background independence},
  author={D. Giulini},
  year={2006},
  publisher={https://arxiv.org/pdf/gr-qc/0603087.pdf}
}


@book{husemoller,
  title={Fibre Bundles},
  author={D. Husemoller},
  year={1966},
  publisher={Springer}
}


@book{geroch,
  title={Global aspects of the Cauchy problem in general relativity},
  author={Yvonne Choquet--Bruhat \& Robert Geroch},
  year={1969},
  publisher={Springer}
}

@book{geroch2,
  title={Domain of dependence},
  author={R. Geroch},
  year={1970},
  publisher={Jour. Math. Phys. 11, 437–449}
}

@book{lee,
  title={Geometric Relativity},
  author={Dan A. Lee},
  year={2019},
  publisher={American Mathematical Society}
}

@book{lee_smooth,
  title={Introduction to Smooth Manifolds},
  author={John M. Lee},
  year={2012},
  publisher={Springer}
}

@book{taylor,
  title={Partial Differential Equations III--Nonlinear Equations},
  author={Michael E. Taylor},
  year={1996},
  publisher={Springer}
}

@book{fatib,
  title={Relativistic Theories, Gravitational Theories and General Relativity},
  author={Lorenzo Fatibene},
  address={work in progress},
  publisher={http://www.fatibene.org/book.html}
}

@book{symmetries,
  title={Origin of Symmetries},
  author={Colin D. Frogatt \& Holger B. Nielsen},
  year={1991},
  publisher={World Scientific}
}

@book{fulton,
  title={Representation Theory, A first Course},
  author={W. Fulton \& J. Harris},
  year={2004},
  publisher={Springer}
}

@book{LN1,
  title={Introduction to Loop Quantum Gravity. The Holst's action and the covariant formalism Theory, A first Course},
  author={L. Fatibene, A. Orizzonte, A. Albano, S. Coriasco, M. Ferraris, S. Garruto, N. Morandi},
  year={2024},
  publisher={World Scientific, International Journal of Geometric Methods in Modern Physics}
}

@book{LN2,
  title={Notes in Loop Quantum Gravity. Cauchy problems and pre-quantum states},
  author={L. Fatibene},
  year={2024},
  publisher={unpublished}
}

@book{LN3,
  title={Notes in Loop Quantum Gravity. Boundary equations for Ashtekar--Barbero-Immirzi model},
  author={L. Fatibene},
  year={2024},
  publisher={unpublished}
}

@book{LN5,
  title={Notes in Loop Quantum Gravity. Holonomies and discrete connections},
  author={L. Fatibene},
  year={2024},
  publisher={unpublished}
}

@book{LN6,
  title={Notes in Loop Quantum Gravity. SU(2) representations and intertwiners},
  author={L. Fatibene},
  year={2024},
  publisher={unpublished}
}

@book{LN7,
  title={Notes in Loop Quantum Gravity. Hilbert spaces of quantum states},
  author={L. Fatibene},
  year={2024},
  publisher={unpublished}
}

@book{LN8,
  title={Notes in Loop Quantum Gravity. Operators on quantum states},
  author={L. Fatibene},
  year={2024},
  publisher={unpublished}
}

@book{LN9,
  title={Notes in Loop Quantum Gravity. Classical and quantum discrete geometries},
  author={L. Fatibene},
  year={2024},
  publisher={unpublished}
}

@book{LNX,
  title={Notes in Loop Quantum Gravity. Exploring quantum geometries},
  author={L. Fatibene},
  year={2024},
  publisher={unpublished}
}

@book{spinfoamsBaez,
  title={An Introduction to Spin Foam Models of BF Theory and Quantum Gravity},
  author={John C. Baez},
  year={1999},
  address={https://arxiv.org/pdf/gr-qc/9905087.pdf}
}
@book{spinfoamsOriti,
  title={Spacetime geometry from algebra: spin foam models
for non perturbative quantum gravity},
  author={D. Oriti},
  year={2001},
address={https://arxiv.org/pdf/gr-qc/0106091.pdf}
}
@book{spinfoamsPerez2,
  title={The Spin Foam Approach to Quantum Gravity},
  author={Alejandro Perez},
  year={2012},
publisher={Springer}
}

@book{spinfoamsPerez1,
  title={Spin Foam Models for Quantum Gravity},
  author={Alejandro Perez},
publisher={IOP Publishing},
year={2003}
}

@book{smolin,
  title={Spin networks and Quantum Gravity},
  author={Carlo Rovelli \& Lee Smolin},
publisher={American Physical Society},
year={1995}
}

@book{holst,
  title={Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action},
  author={Sören Holst},
publisher={https://arxiv.org/abs/gr-qc/9511026v1},
year={1995}
}


@book{hall,
  title={An Elementary Introduction to Groups and Representations},
  author={Brian C. Hall},
  address={arXiv:math-ph/0005032},
  year={2000}
}

@book{kirillov,
  title={An Introduction to Lie Groups and Lie Algebras},
  author={Alexander Kirillov Jr.},
  publisher={Cambrdige University Press},
  year={2008}
}


@book{blake,
  title={A. N. Whitehead’s Geometric Algebra},
  author={Stephen Blake},
  address={stebla@ntlworld.com},
  year={2005}
}

@book{jetBundles,
  title={The Geometry of Jet Bundles},
  author={D. J. Saunders},
  address={Cambridge University Press},
  year={1989}
}


@book{moretti,
  title={Fundamental Mathematical Structures of Quantum Theory},
  author={Valter Moretti},
  address={Springer},
  year={2019}
}

@book{baggot,
  title={Quanti di spazio. La gravità quantistica a loop e la ricerca della struttura dello spazio, del tempo e dell’universo},
  author={Jim Baggott},
  address={Adelphi},
  year={2022}
}

}




  publisher={Springer}
}


, Domain of dependence, Jour. Math. Phys. 11 (1970), 437–449.

}



%Loop Quantum Gravity For Everyone

% §

%https://arxiv.org/pdf/math-ph/0106007.pdf