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math.DG2019
The Euler Characteristic Of A Transitive Lie Algebroid
James Waldron
We apply the Atiyah-Singer index theorem and tensor products of elliptic complexes to the cohomology of transitive Lie algebroids. We prove that the Euler characteristic of a repre…
math.DG2018
Compact Hermitian symmetric spaces, coadjoint orbits, and the dynamical stability of the Ricci flow
Stuart James Hall, Thomas Murphy, James Waldron
Using a stability criterion due to Kröncke, we show, providing , the Kähler--Einstein metric on the Grassmannian of complex -planes in an $n…
math.DG2017★ 1 cited
On the Lie 2-algebra of sections of an LA-groupoid
Cristian Ortiz, James Waldron
In this work we introduce the category of multiplicative sections of an $\la$-groupoid. We prove that this category carries natural strict Lie 2-algebra structures, which are Morit…