1 citations · 2 across the 9 of their papers we have counts for
9 papers
Homotopy-theoretic least squares regression
Cheyne Glass
A presheaf of complexes is constructed on a category of weighted finite subsets of a fixed Euclidean space. To each object, a Koszul complex is assigned which resolves the coordina…
Hypercovers in Differential Geometry
Cheyne Glass, Emilio Minichiello
In this paper we provide a simple proof that for several sites of interest in differential geometry, the local projective model structure and the Čech projective model structure ar…
Hirzebruch-Riemann-Roch for complex analytic infinity-prestacks
Cheyne Glass, Thomas Tradler, Mahmoud Zeinalian
We provide a cocycle-level Hirzebruch-Riemann-Roch (HRR) identity for arbitrary complex analytic infinity-prestacks. We view this work as the natural setting for Toledo and Tong's…
Cech - de Rham Chern character on the stack of holomorphic vector bundles
Cheyne Glass, Thomas Tradler, Mahmoud Zeinalian
We provide a formula for the Chern character of a holomorphic vector bundle in the hyper-cohomology of the de Rham complex of holomorphic sheaves on a complex manifold. This Chern…
Topological Data Analysis via Undergraduate Linear Algebra
Cheyne Glass, Elizabeth Vidaurre
Topological Data Analysis has grown in popularity in recent years as a way to apply tools from algebraic topology to large data sets. One of the main tools in topological data anal…
Chern character for infinity vector bundles
Cheyne Glass, Micah Miller, Thomas Tradler +1
Coherent sheaves on general complex manifolds do not necessarily have resolutions by finite complexes of vector bundles. However D. Toledo and Y.L.L. Tong showed that one can resol…
Modeling bundle-valued forms on the path space with a curved iterated integral
Cheyne J. Glass, Corbett Redden
We introduce a new variant of Hochschild's two-sided bar construction for the setting of curved differential graded algebras. One can geometrically think of the classical bar compl…
The derivative of global surface-holonomy for a non-abelian gerbe
Cheyne J Glass
Starting with a non-abelian gerbe represented by a non-abelian differential cocycle, with values in a given crossed-module, this paper explicitly calculates a formula for the deriv…
The Hodge Chern character of holomorphic connections as a map of simplicial presheaves
Cheyne Glass, Micah Miller, Thomas Tradler +1
We define a map of simplicial presheaves, the Chern character, that assigns to every sequence of composable non connection preserving isomorphisms of vector bundles with holomorphi…