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Title: This book is the real deal by comparison
Review: I have this book by Jeffery Weeks that Thurston's opens up with the real mathematics:The Shape of Space (Pure and Applied Mathematics). In both cases though, they fail to make the connection of the higher Cartan Lie Algebras to 3 manifold theory clear. When the connection of string theory to 3 dimensional geometry comes through thisapproach to geometry, you think that we have a theory that neglects 5 dimensions and above?So as good as this text is, it still falls somewhat short of what is needed in the modern world and we are forced to think of our own way to interpret the standard model symmetry breaking of SU(5) (Cartan A_4) to U(1)*SU(2)*SU(3).
