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تسجيل مستخدم جديدHigher order generalization of Fukayas Morse homotopy invariant of 3-manifolds I. Invariants of homology 3-spheres
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تأليف
Tadayuki Watanabe
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We give a generalization of Fukayas Morse homotopy theoretic approach for 2-loop Chern--Simons perturbation theory to 3-valent graphs with arbitrary number of loops at least 2. We construct a sequence of invariants of integral homology 3-spheres with values in a space of 3-valent graphs (Jacobi diagrams or Feynman diagrams) by counting graphs in an integral homology 3-sphere satisfying certain condition described by a set of ordinary differential equations.
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