4 papers
Spectral asymmetry, supersymmetry and the equivariant Riemann-Roch defect
Gayana Jayasinghe, Alex R. Taylor, Xinran Yu
We investigate the relationship between two interpretations of equivariant Riemann-Roch defects of complex spaces with conic singularities; as (i) equivariant and i…
On a General Class of A-functions
Joseph Burnett, Alex Taylor
Expanding upon recent work, a new class of -functions is introduced that can be viewed as an appropriate generalization of the class of regular -functions, the class of struc…
A Short Proof of Köthe's Conjecture for Compact Rings
Scott Goodson, Alex Taylor
We provide a new proof that the upper nilradical of a compact ring coincides with the sum of its left nil ideals using the properties of orthogonal idempotents in compact rings.
An Algorithmic Approach To Solving B = BCX + YAB Using Quotient Spaces
Alex Taylor
One well-known necessary and sufficient condition for equality in the Frobenius rank inequality due to Tian and Styan is that the matrix equation B = BCX + YAB be solvable for X an…