30 июл. 2019 г. · The Thom spectrum of this spherical fibration is the homotopy pushout in the category of E∞ spectra of the following diagram.

10 апр. 2020 г. · On the level of Thom spectra, we can desuspend both sides and turn this into an identity Xˉρ=Σ∞Th(ˉρ)≃S−1∧Σ∞Th(ρ)≃Σ−1Xρ.

1 окт. 2018 г. · Just a quick answer to explain the original reason behind the definition and why our modern understanding of Thom spectra vindicates it.

30 июл. 2013 г. · This chain complex comes from the cellular filtration of the Thom spectrum, and its homology is the E2-term of the cellular spectral sequence ...

10 сент. 2021 г. · It is known that M(Spin×SO(d))=MSpin∧BSO(d)+, where BSO(d)+ is a disjoint union of BSO(d) with a point.

12 окт. 2018 г. · A Madsen-Tillmann spectrum ``is'' a Thom spectrum! You may look at Section 2 of the following paper for a general construction: Søren Galatius ...

11 авг. 2016 г. · My favorite reference for the multiplicative properties of Thom spectra is Antolín-Camarena, Barthel - A simple universal property of Thom ring spectra.

6 нояб. 2019 г. · Recall that MU is the Thom spectrum of the bundle over BU given by realification BU→BO. The spectrum M2O is the Thom spectrum of the map BO→BU→B ...

12 янв. 2015 г. · The Thom spectrum Mf(1) obtained from the group action of G on R agrees with the (non-derived!) smash product of Σ∞+P and R over Σ∞+G. The ...

2 мар. 2022 г. · Thom spectra, tmf, and Weierstrass curve Hopf Algebroid ... Let X(4) be the Thom spectrum associated to ΩSU(4)→ΩSU≃BU. Since X(4) is a homotopy ...