1Mark Mahowald

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The Dwyer–Wilkerson space DI(4) is the only exotic 2-compact group. We compute v −1 1 π * (DI(4)), its v1-periodic homotopy groups.

- Donald M Davis
- 1989

In this paper we compute the 3-primary v 1-periodic homotopy groups of the exceptional Lie group E 7. This represents the next stage in the author's goal of calculating the v 1-periodic homotopy groups of all compact simple Lie groups (at least when localized at an odd prime). Most of the work goes into calculating the unstable Novikov spectral sequence of… (More)

If p is a prime and n a positive integer, let ν p (n) denote the exponent of p in n, and u p (n) = n/p νp(n) the unit part of n. If α is a positive integer not divisible by p, we show that the p-adic limit of (−1) pαe u p ((αp e)!) as e → ∞ is a well-defined p-adic integer, which we call z α,p. In terms of these, we then give a formula for the p-adic limit… (More)

- Donald M Davis, Mark Mahowald
- 2010

We study three connective versions of the spectrum for topological modular forms of level 3. All three were described briefly by Mahowald and Rezk in [10], but we add much detail to their discussion. Letting tmf(3) denote our connective model which is a ring spectrum, we compute tmf(3) * (RP ∞).

- Donald M Davis
- 1989

In this paper we compute the 3-primary v 1-periodic homotopy groups of the exceptional Lie group E 7. This represents the next stage in the author's goal of calculating the v 1-periodic homotopy groups of all compact simple Lie groups (at least when localized at an odd prime). Most of the work goes into calculating the unstable Novikov spectral sequence of… (More)

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