Niny Arcila-Maya

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math.AT2026

Decomposition of Topological Azumaya Algebras with Orthogonal Involution

Niny Arcila-Maya

Let $A$ be a topological Azumaya algebra of degree $mn$ with an orthogonal involution over a CW complex $X$ of dimension less than or equal to $min {m, n}$ . We give cond…

math.AT2025

Decomposition of Symplectic Vector Bundles and Azumaya Algebras

Niny Arcila-Maya

Let $X$ be a connected CW complex. Let $V$ be a symplectic vector bundle of rank $2 mn$ over $X$ , and let $A$ be a topological Azumaya algebra of degree $2 mn$ wi…