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papers

Publications (7)

On Kontsevich's characteristic classes for smooth 5- and 7-dimensional homology sphere bundles

Tadayuki Watanabe

Configuration space integral for long n-knots, the Alexander polynomial and knot space cohomology

Tadayuki Watanabe

Higher order generalization of Fukaya's Morse homotopy invariant of 3-manifolds I. Invariants of homology 3-spheres

Tadayuki Watanabe

An invariant of fiberwise Morse functions on surface bundle over $S^1$ by counting graphs

Tadayuki Watanabe

Morse theory and Lescop's equivariant propagator for 3-manifolds with $b_1=1$ fibered over $S^1$

Tadayuki Watanabe

Higher order generalization of Fukaya's Morse homotopy invariant of 3-manifolds II. Invariants of 3-manifolds with $b_1=1$

Tadayuki Watanabe

1-loop graphs and configuration space integral for embedding spaces

Keiichi Sakai, Tadayuki Watanabe