Bruno Stonek

activity

20172020

T H H

and tensors in

\infty

-categories

2 citations · 2 across the 1 of their papers we have counts for

collaborators

4 papers

math.AT2020

The cotangent complex and Thom spectra

Nima Rasekh, Bruno Stonek

The cotangent complex of a map of commutative rings is a central object in deformation theory. Since the 1990s, it has been generalized to the homotopical setting of $E_{\infty}$ -rin…

math.AT2019★ 2 cited

Thom spectra, higher $T H H$ and tensors in $\infty$ -categories

Nima Rasekh, Bruno Stonek, Gabriel Valenzuela

Let $f : G \to Pic (R)$ be a map of $E_{\infty}$ -groups, where $Pic (R)$ denotes the Picard space of an $E_{\infty}$ -ring spectrum $R$ . We determine the tensor $X\otimes_R…

math.AT2018

Higher topological Hochschild homology of periodic complex K-theory

Bruno Stonek

We describe the topological Hochschild homology of the periodic complex $K$ -theory spectrum, $T H H (K U)$ , as a commutative $K U$ -algebra: it is equivalent to $K U [K (Z, 3)]$ and…

math.AT2017

Graded multiplications on iterated bar constructions

Bruno Stonek

We define a bar construction endofunctor on the category of commutative augmented monoids $A$ of a symmetric monoidal category $V$ endowed with a left adjoint monoidal fu…

The cotangent complex and Thom spectra

Thom spectra, higher THH and tensors in ∞-categories

Higher topological Hochschild homology of periodic complex K-theory

Graded multiplications on iterated bar constructions

Thom spectra, higher $T H H$ and tensors in $\infty$ -categories