In this work we investigate the Swampland Cobordism Conjecture in the context of type IIB
string theory geometries with non-trivial duality bundle. Quite remarkably, we find that many …

The connective topological modular forms spectrum, $ tmf $, is in a sense initial among
elliptic spectra, and as such is an important link between the homotopy groups of spheres …

We reformulate the question of the absence of global anomalies of heterotic string theory
mathematically in terms of a certain natural transformation TMF∙→(IZ Ω string)∙-20, from …

A bstract We build a connection between topology of smooth 4-manifolds and the theory of
topological modular forms by considering topologically twisted compactification of 6d (1, 0) …

Let A→ B be a G-Galois extension of rings, or more generally of E∞-ring spectra in the
sense of Rognes. A basic question in algebraic K-theory asks how close the map K (A)→ K …

We explore the C 2–equivariant spectra Tmf 1 (3) and TMF 1 (3). In particular, we compute
their C 2–equivariant Picard groups and the C 2–equivariant Anderson dual of Tmf 1 (3) …

We construct a morphism of spectra from $\mathrm {KO}((q))/\mathrm {TMF} $ to $\Sigma^{-
20} I_ {\mathbb {Z}}\mathrm {TMF} $, which we show to be an equivalence and to implement …

We compute the mod $2 $ homology of the spectrum $\mathrm {tmf} $ of topological modular
forms by proving a 2-local equivalence $\mathrm {tmf}\wedge DA (1)\simeq\mathrm {tmf} _1 …

Given an algebraic stack, one may compare the derived category of quasi-coherent sheaves
on with the category of dg-modules over the dg-ring of functions on. We study the analogous …

For physicists: For supersymmetric quantum mechanics, there are cases when a mod-2
Witten index can be defined, even when a more ordinary $\mathbb {Z} $-valued Witten index …