Differential Topology and Quantum Field TheoryA book intended for graduate students and research workers in theoretical physics, high energy physics, particularly quantum field theorists in mathematics doing differential geometry or topology and for thoretical physicists in statistical mechanics or solid state theory. |
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action anomaly Atiyah base point boundary calculation chapter characteristic classes Chern class cohomology class cohomology group compact complex manifold compute conformal field theory connection consider construct coordinates corresponding critical points curvature defined definition denote diffeomorphisms differential operator dim ker dimension Dirac operator eigenvalues element elliptic operator equation example Fermions fibre finite dimensional formula gauge transformations genus given global group G H¹(M Hae Rham Hilbert space holomorphic homeomorphic homology homotopy groups index theorem infinite instantons integral isomorphism Jones polynomial K-theory Kähler knots KU(X Lie algebra line bundle M₁ metric moduli space monopoles Morse theory non-trivial obtain partition function polynomial primary field pseudo-differential operator quantum field theory quotient representation result Riemann surface sheaf sheaf cohomology smooth topological trivial vanishes vect vector bundles Virasoro algebra Witten write Yang-Mills zero