Geometry, Topology and Physics

By M. Nakahara. 2018

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Citations in the corpus

Gauge Equivariant Convolutional Networks and the Icosahedral CNN (2019, neutral): “For more information on manifolds, ﬁber bundles, connections, parallel transport, the exponential map, etc., we highly recommend the lectures by Schuller (2016), as well as the book Nakahara (2003) which explain these concepts very clearly and at a useful level of abstraction.”
New supersymmetric string compactifications (2002, background): “The condition for integrability [45] is easy to state in terms of the structure constants which specify the twist, (2.”
Symmetries in Quantum Field Theory and Quantum Gravity (2018, background): “or the basic operations on these, so we here describe ours. They coincide with those in [35] except for the sign of the Hodge star, which diers by a factor of ( 1) p(d ) and instead agrees with, eg, [36,37]. Dierential forms are completely antisymmetric tensors, whose components thus obey ! 1:::p =”
Information geometry and its applications (2012, background): “For further reeding on differential geometry see [1] [2], [3], [4].”
One-dimensional topologically protected modes in topological insulators with lattice dislocations (2008, background): “Such Dirac Hamiltonians are well known to lead to low-energy modes that are protected by index theorem”
Intersecting Brane Models of Particle Physics and the Higgs Mechanism (2002, background): “In our particular setup, a D6a-brane wrapping a general cycle will be located in a 3-submanifold of T 6 = T 2 × T 2 × T 2 , thus corresponding to an element [�a] of H3(T 6 , ZZ), which is the group of homology classes of 3- cycles [29].”