Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Roitzheim, Constanze"'
Autor:
Mazur, Kristen, Osorno, Angelica M., Roitzheim, Constanze, Santhanam, Rekha, Van Niel, Danika, Castro, Valentina Zapata
Bi-incomplete Tambara functors over a group $G$ can be understood in terms of compatible pairs of $G$-transfer systems. In the case of $G = C_{p^n}$ , Hill, Meng and Li gave a necessary and sufficient condition for compatibility and computed the exac
Externí odkaz:
http://arxiv.org/abs/2401.13523
We study the uniqueness of enhancements of tensor-triangulated categories. To do so, we provide conditions under which these enhancements interact well with categorical decompositions. As an application we obtain new results about the uniqueness of e
Externí odkaz:
http://arxiv.org/abs/2302.12134
Franke's reconstruction functor R is known to provide examples of triangulated equivalences between homotopy categories of stable model categories, which are exotic in the sense that the underlying model categories are not Quillen equivalent. We show
Externí odkaz:
http://arxiv.org/abs/2301.09432
Publikováno v:
J. Lond. Math. Soc., II. Ser., 108(2):545-577, 2023
We study several different notions of algebraicity in use in stable homotopy theory and prove implications between them. The relationships between the different meanings of algebraic are unexpectedly subtle, and we illustrate this with several intere
Externí odkaz:
http://arxiv.org/abs/2110.03138
We initiate the study of model structures on (categories induced by) lattice posets, a subject we dub homotopical combinatorics. In the case of a finite total order $[n]$, we enumerate all model structures, exhibiting a rich combinatorial structure e
Externí odkaz:
http://arxiv.org/abs/2109.07803
We investigate the combinatorial data arising from the classification of equivariant homotopy commutativity for cyclic groups of order $G=C_{p_1 \cdots p_n}$ for $p_i$ distinct primes. In particular, we will prove a structural result which allows us
Externí odkaz:
http://arxiv.org/abs/2001.05815
Publikováno v:
Pacific J. Math. 315 (2021) 285-304
We provide a new combinatorial approach to studying the collection of N-infinity-operads in G-equivariant homotopy theory for G a finite cyclic group. In particular, we show that for G the cyclic group of order p^n the natural order on the collection
Externí odkaz:
http://arxiv.org/abs/1905.03797
Autor:
Muro, Fernando, Roitzheim, Constanze
Publikováno v:
Journal of Pure and Applied Algebra 223, Issue 5 (2019) 1913-1939
We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model structure has weak equivalences detected by the totalisation functor. The second model structure's weak equivalences are detected by t
Externí odkaz:
http://arxiv.org/abs/1802.07610
We prove that the $v_1$-local $G$-equivariant stable homotopy category for $G$ a finite group has a unique $G$-equivariant model at $p=2$. This means that at the prime $2$ the homotopy theory of $G$-spectra up to fixed point equivalences on $K$-theor
Externí odkaz:
http://arxiv.org/abs/1705.03855
Publikováno v:
Glasgow Math. J. 61 (2019) 321-348
We calculate the endomorphism dga of Franke's exotic algebraic model for the $K$-local stable homotopy category at odd primes. We unravel its original abstract structure to give explicit generators, differentials and products.
Externí odkaz:
http://arxiv.org/abs/1609.06219