COMPARISON RESULTS ABOUT DG-CATEGORIES, A∞-CATEGORIES, STABLE∞-CATEGORIES AND NONCOMMUTATIVE MOTIVES
M Ornaghi - 2018 - air.unimi.it
In the first part of this thesis we give some comparison results about Dg-categories, A∞-
categories and stable∞-categories. In the second part we introduce the theory of …
categories and stable∞-categories. In the second part we introduce the theory of …
Inertia groups of high-dimensional complex projective spaces
S Basu, R Kasilingam - Algebraic & geometric topology, 2018 - msp.org
For a complex projective space the inertia group, the homotopy inertia group and the
concordance inertia group are isomorphic. In complex dimension 4 n+ 1, these groups are …
concordance inertia group are isomorphic. In complex dimension 4 n+ 1, these groups are …
The Witt vectors for Green functors
AJ Blumberg, T Gerhardt, MA Hill, T Lawson - arXiv preprint arXiv …, 2018 - arxiv.org
We define twisted Hochschild homology for Green functors. This construction is the
algebraic analogue of the relative topological Hochschild homology $ THH_ {C_n}(-) $, and …
algebraic analogue of the relative topological Hochschild homology $ THH_ {C_n}(-) $, and …
[HTML][HTML] Toward a Galois theory of the integers over the sphere spectrum
J Beardsley, J Morava - Journal of Geometry and Physics, 2018 - Elsevier
Recent work (Ando et al., 2015, 2014; Beardsley, 2017; Hess, 2010; Rognes, 2008) in
higher algebra allows the reinterpretation of a classical description (Blumberg, 2010; Cohen …
higher algebra allows the reinterpretation of a classical description (Blumberg, 2010; Cohen …
Adams filtration and generalized Hurewicz maps for infinite loopspaces
NJ Kuhn - Inventiones mathematicae, 2018 - Springer
We study the Hurewicz map h_*: π _*(X) → R_*(Ω^ ∞ X) h∗: π∗(X)→ R∗(Ω∞ X) where Ω^
∞ X Ω∞ X is the 0th space of a spectrum X, and R_* R∗ is the generalized homology theory …
∞ X Ω∞ X is the 0th space of a spectrum X, and R_* R∗ is the generalized homology theory …
On the definition and K-theory realization of a modular functor
I Kriz, L Lai - Reviews in Mathematical Physics, 2018 - World Scientific
We present a definition of a (super)-modular functor which includes certain interesting cases
that previous definitions do not allow. We also introduce a notion of topological twisting of a …
that previous definitions do not allow. We also introduce a notion of topological twisting of a …
[PDF][PDF] A fundamental theorem for the K-theory of connective S-algebras
EE Fontes, C Ogle - arXiv preprint arXiv:1804.00975, 2018 - researchgate.net
arXiv:1804.00975v1 [math.KT] 30 Mar 2018 Page 1 arXiv:1804.00975v1 [math.KT] 30 Mar 2018
A FUNDAMENTAL THEOREM FOR THE K-THEORY OF CONNECTIVE S-ALGEBRAS E …
A FUNDAMENTAL THEOREM FOR THE K-THEORY OF CONNECTIVE S-ALGEBRAS E …
Quillen-Segal algebras and Stable homotopy theory
H Bacard - arXiv preprint arXiv:1807.11877, 2018 - arxiv.org
Let $\mathscr {M} $ be a monoidal model category that is also combinatorial and left proper.
If $\mathscr {O} $ is a monad, operad, properad, or a PROP; following Segal's ideas we …
If $\mathscr {O} $ is a monad, operad, properad, or a PROP; following Segal's ideas we …
[PDF][PDF] A Whitehead theorem for periodic homotopy groups
arXiv:1811.04030v2 [math.AT] 17 Jul 2019 Page 1 arXiv:1811.04030v2 [math.AT] 17 Jul 2019 A
WHITEHEAD THEOREM FOR PERIODIC HOMOTOPY GROUPS TOBIAS BARTHEL, GIJS …
WHITEHEAD THEOREM FOR PERIODIC HOMOTOPY GROUPS TOBIAS BARTHEL, GIJS …
On some adjunctions in equivariant stable homotopy theory
P Hu, I Kriz, P Somberg - Algebraic & Geometric Topology, 2018 - msp.org
We investigate certain adjunctions in derived categories of equivariant spectra, including a
right adjoint to fixed points, a right adjoint to pullback by an isometry of universes, and a …
right adjoint to fixed points, a right adjoint to pullback by an isometry of universes, and a …