000			04099nam a22004813i 4500
001			EBC5788264
003			MiAaPQ
005			20240724113801.0
006			m o d |
007			cr cnu||||||||
008			240724s2019 xx o ||||0 eng d
020			_a9781470452575 _q(electronic bk.)
020			_z9781470436216
035			_a(MiAaPQ)EBC5788264
035			_a(Au-PeEL)EBL5788264
035			_a(OCoLC)1104707441
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQC793.5.F42 .F567 2019
082	0		_a516.36
100	1		_aFinster, Felix.
245	1	0	_aSpinors on Singular Spaces and the Topology of Causal Fermion Systems.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2019.
264		4	_c©2019.
300			_a1 online resource (96 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society Series ; _vv.259
505	0		_aCover -- Title page -- Chapter 1. Introduction -- Chapter 2. Basic Definitions and Simple Examples -- Chapter 3. Topological Structures -- 3.1. A Sheaf -- 3.2. A Topological Vector Bundle -- 3.3. A Bundle over a Topological Manifold -- 3.4. A Bundle over a Differentiable Manifold -- Chapter 4. Topological Spinor Bundles -- 4.1. Clifford Sections -- 4.2. Topological Obstructions -- 4.3. The Spin Group -- 4.4. Construction of Bundle Charts -- 4.5. Spin Structures -- Chapter 5. Further Examples -- 5.1. Compact Riemannian Spin Manifolds -- 5.2. Almost-Complex Structures on Riemannian Manifolds -- 5.3. Complex Structures on Riemannian Manifolds -- 5.4. Kähler Structures -- Chapter 6. Tangent Cone Measures and the Tangential Clifford Section -- 6.1. The Tangent Cone Measure -- 6.2. Construction of a Tangential Clifford Section -- 6.3. Construction of a Spin Structure -- Chapter 7. The Topology of Discrete and Singular Fermion Systems -- Chapter 8. Basic Examples -- 8.1. The Euclidean Plane -- 8.2. Two-Dimensional Minkowski Space -- 8.3. The Euclidean Plane with Chiral Asymmetry -- 8.4. The Spin Structure of the Euclidean Plane with Chiral Asymmetry -- 8.5. The Spin Structure of Two-Dimensional Minkowski Space -- Chapter 9. Spinors on Singular Spaces -- 9.1. Singularities of the Conformal Factor -- 9.2. Genuine Singularities of the Curvature Tensor -- 9.3. The Curvature Singularity of Schwarzschild Space-Time -- 9.4. A Lattice System with Non-Trivial Topology -- Acknowledgments -- Bibliography -- Back Cover.
520			_aCausal fermion systems and Riemannian fermion systems are proposed as a framework for describing non-smooth geometries. In particular, this framework provides a setting for spinors on singular spaces. The underlying topological structures are introduced and analyzed. The connection to the spin condition in differential topology is worked out. The constructions are illustrated by many simple examples such as the Euclidean plane, the two-dimensional Minkowski space, a conical singularity, a lattice system as well as the curvature singularity of the Schwarzschild space-time. As further examples, it is shown how complex and Kähler structures can be encoded in Riemannian fermion systems.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aFermions.
650		0	_aContinuum mechanics.
650		0	_aField theory (Physics).
655		4	_aElectronic books.
700	1		_aKamran, Niky.
776	0	8	_iPrint version: _aFinster, Felix _tSpinors on Singular Spaces and the Topology of Causal Fermion Systems _dProvidence : American Mathematical Society,c2019 _z9781470436216
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5788264 _zClick to View
999			_c11363 _d11363