Anastasios Mallios

Modern Differential Geometry in Gauge Theories (eBook, PDF)

Maxwell Fields, Volume I

• Format: PDF

Produktbeschreibung

This 2-volume research monograph presents a new kind of modern differential geometry approach to such physical theories as gauge theory. Sheaf theory (geometry) and sheaf cohomology (analysis) are used to explain all the machinary of classical differential geometry without any notion of smoothness. Together they present Maxwell fields, Yang-Mills fields and general relativity. These texts contains a treasure trove of minutely detailed and rigorous computations. This original work will appeal to advanced undergraduates, graduate students, mathematicians and physicists interested in applications of differential geometry to physical theories.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 293
• Erscheinungstermin: 27. Juli 2006
• Englisch
• ISBN-13: 9780817644741
• Artikelnr.: 37360565

Autorenporträt

Anastasios Mallios, University of Athens Panepistimioupolis, Athens, Greece

Inhaltsangabe

Maxwell Fields: General Theory.- The Rudiments of Abstract Differential Geometry.- Elementary Particles: Sheaf-Theoretic Classification, by Spin-Structure, According to Selesnick's Correspondence Principle.- Electromagnetism.- Cohomological Classification of Maxwell and Hermitian Maxwell Fields.- Geometric Prequantization.

Rezensionen

From the reviews:
"This book is the sequel to [Modern differential geometry in gauge theories. Vol. I: Maxwell fields. Boston, MA: Birkhäuser (2006; Zbl 1116.18006)], continuing the study of gauge theories in the framework of abstract differential geometry. It consists of four chapters. ... All in all, the book is well written, and it is recommendable to novices and specialists." (Hirokazu Nishimura, Zentralblatt MATH, Vol. 1185, 2010)