We prove that the $p$th Hecke operator on the Morava $E$-cohomology of a space is congruent to the Frobenius mod $p$. This is a generalization of the fact that the $p$th Adams operation on the complex $K$-theory of a space is congruent to the Frobenius mod $p$. The proof implies that the $p$th Hecke operator may be used to test Rezk's congruence criterion
Abstract. We give some structure to the Brown-Peterson cohomology (or its p-completion) of a wide cl...
We have three somewhat independent sets of results. Our rst results are a mixed blessing. We show th...
We have three somewhat independent sets of results. Our first results are a mixed blessing. We show ...
We prove that the p-completed Brown Peterson spectrum is a retract of a product of Morava E-theory s...
We prove that the p-completed Brown Peterson spectrum is a retract of a product of Morava E-theory s...
We prove that the p-completed Brown Peterson spectrum is a retract of a product of Morava E-theory s...
Let E denote a Morava E-theory at a prime p and height h. We characterize the power operations on π0...
The Morava $E$-theories, $E_{n}$, are complex-oriented $2$-periodic ring spectra, with homotopy grou...
The Morava $E$-theories, $E_{n}$, are complex-oriented $2$-periodic ring spectra, with homotopy grou...
We develop tools for computing the connective n-th Morava K-theory of spaces. Starting with a Univer...
AbstractWe give a new proof of a special case of a theorem Hopkins and the authors, relating the Mor...
AbstractA. Baker has constructed certain sequences of cohomology theories which interpolate between ...
We study the Morava $E$-theory (at a prime $p$) of $BGL_d(F)$, where $F$ is a finite field with $|F|...
We compute the algebraic K-theory modulo p and v_1 of the S-algebra ell/p = k(1), using topological ...
Let E denote a Morava E-theory at a prime p and height h. We characterize the power operations on π0...
Abstract. We give some structure to the Brown-Peterson cohomology (or its p-completion) of a wide cl...
We have three somewhat independent sets of results. Our rst results are a mixed blessing. We show th...
We have three somewhat independent sets of results. Our first results are a mixed blessing. We show ...
We prove that the p-completed Brown Peterson spectrum is a retract of a product of Morava E-theory s...
We prove that the p-completed Brown Peterson spectrum is a retract of a product of Morava E-theory s...
We prove that the p-completed Brown Peterson spectrum is a retract of a product of Morava E-theory s...
Let E denote a Morava E-theory at a prime p and height h. We characterize the power operations on π0...
The Morava $E$-theories, $E_{n}$, are complex-oriented $2$-periodic ring spectra, with homotopy grou...
The Morava $E$-theories, $E_{n}$, are complex-oriented $2$-periodic ring spectra, with homotopy grou...
We develop tools for computing the connective n-th Morava K-theory of spaces. Starting with a Univer...
AbstractWe give a new proof of a special case of a theorem Hopkins and the authors, relating the Mor...
AbstractA. Baker has constructed certain sequences of cohomology theories which interpolate between ...
We study the Morava $E$-theory (at a prime $p$) of $BGL_d(F)$, where $F$ is a finite field with $|F|...
We compute the algebraic K-theory modulo p and v_1 of the S-algebra ell/p = k(1), using topological ...
Let E denote a Morava E-theory at a prime p and height h. We characterize the power operations on π0...
Abstract. We give some structure to the Brown-Peterson cohomology (or its p-completion) of a wide cl...
We have three somewhat independent sets of results. Our rst results are a mixed blessing. We show th...
We have three somewhat independent sets of results. Our first results are a mixed blessing. We show ...