3 papers
math.AT2021
The (anti-)holomorphic sector in -equivariant cohomology, and the Witten class
Mattia Coloma, Domenico Fiorenza, Eugenio Landi
Atiyah's classical work on circular symmetry and stationary phase shows how the -genus is obtained by formally applying the equivariant cohomology localization formula to…
math.AT2020
A very short note on the (rational) graded Hori map
Domenico Fiorenza, Mattia Coloma, Eugenio Landi
The graded Hori map has been recently introduced by Han-Mathai in the context of T-duality as a -graded transform whose homogeneous components are the Hori-Fourier tran…
math.AT2019
An exposition of the topological half of the Grothendieck-Hirzebruch-Riemann-Roch theorem in the fancy language of spectra
Mattia Coloma, Domenico Fiorenza, Eugenio Landi
We give an informal exposition of pushforwards and orientations in generalized cohomology theories in the language of spectra. The whole note can be seen as an attempt at convincin…