@article{1484071,
      recid = {1484071},
      author = {Parisi, Matteo,},
      title = {Combinatorial aspects of scattering amplitudes :  amplituhedra, T-duality, and cluster algebras /},
      pages = {1 online resource (xxiii, 219 pages) :},
      note = {"Doctoral thesis accepted by University of Oxford, Oxford,  UK."},
      abstract = {This book is a significant contribution within and across  High Energy Physics and Algebraic Combinatorics. It is at  the forefront of the recent paradigm shift according to  which physical observables emerge from geometry and  combinatorics. It is the first book on the amplituhedron,  which encodes the scattering amplitudes of N=4 Yang-Mills  theory, a cousin of the theory of strong interactions of  quarks and gluons. Amplituhedra are generalizations of  polytopes inside the Grassmannian, and they build on the  theory of total positivity and oriented matroids. This book  unveils many new combinatorial structures of the  amplituhedron and introduces a new important related  object, the momentum amplituhedron. Moreover, the work  pioneers the connection between amplituhedra, cluster  algebras and tropical geometry. Combining extensive  introductions with proofs and examples, it is a valuable  resource for researchers investigating geometrical  structures emerging from physics for some time to come.},
      url = {http://library.usi.edu/record/1484071},
      doi = {https://doi.org/10.1007/978-3-031-41069-7},
}