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math.AT2015★ 2 cited
Splitting Madsen-Tillmann spectra II. The Steinberg idempotents and Whitehead conjecture
Takuji Kashiwabara, Hadi Zare
We show that, at the prime , the spectrum splits off the Madsen-Tillmann spectrum which is compatible with the classic splitting of o…
math.AT2014
Splitting Madsen-Tillmann spectra I. Twisted transfer maps
Takuji Kashiwabara, Hadi Zare
We record various properties of twisted Becker-Gottlieb transfer maps and study their multiplicative properties analogous to Becker-Gottlieb transfer. We show these twisted transfe…
math.AT2001
On Brown-Peterson cohomology of QX
Takuji Kashiwabara
We compute the Brown-Peterson cohomology of QX, the free infinite loop-space on X, when X is a space whose Morava K-theory is flat over its BP-cohomology, in particular a space who…