Micah Miller

activity

20102022

most citedThe Hodge Chern character of holomorphic connections as a map of simplicial presheaves

1 citations · 1 across the 4 of their papers we have counts for

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math.AT2022

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…

math.AT2019★ 1 cited

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…

math.AT2011

A Free Frobenius Bialgebra Structure of Differential Forms

Micah Miller

Let $M$ be a closed, oriented manifold. We prove that the quasi-isomorphism class of the $F r o b_{\infty}^{0}$ -bialgebra structure on $H^{*} (M)$ induced by the open TFT on $Ω^{*} (M)$ is a ho…

math.AT2010

Homotopy Algebra Structures on Twisted Tensor Products and String Topology Operations

Micah Miller

Given a $C_{\infty}$ coalgebra $C_{*}$ , a strict dg Hopf algebra $H_{*}$ , and a twisting cochain $τ : C_{*} \to H_{*}$ such that $I m (τ) \subset P r im (H_{*})$ , we describe a procedure for…