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math.GT2002
Unusual formulae for the Euler characteristic
Justin Roberts
Everyone knows that the Euler characteristic of a combinatorial manifold is given by the alternating sum of its numbers of simplices. It is shown that there are other linear combin…
math.GT1998
Kirby calculus in manifolds with boundary
Justin Roberts
Suppose there are two framed links in a compact, connected 3-manifold (possibly with boundary, or non-orientable) such that the associated 3-manifolds obtained by surgery are homeo…