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math.GT2004
The quadratic form E_8 and exotic homology manifolds
Washington Mio, Andrew Ranicki
An explicit (-1)^n-quadratic form over Z[Z^{2n}] representing the surgery problem E_8 x T^{2n} is obtained, for use in the Bryant-Ferry-Mio-Weinberger construction of 2n-dimensiona…
math.GT2004
Controlled L-theory
Andrew Ranicki, Masayuki Yamasaki
We develop an epsilon-controlled algebraic L-theory, extending our earlier work on epsilon-controlled algebraic K-theory. The controlled L-theory is very close to being a generaliz…