E. Landi

activity

20192026

collaborators

6 papers

math.KT2026

An Abstract Index Theorem via Rees Algebras

Eugenio Landi

We develop a purely algebraic framework for index-type theorems based on the Rees construction for filtered differential graded algebras (FDGAs). Alongside the classical Rees modul…

math.RT2026

A categorification of Kauffman states for planar graphs

Giovanni Cerulli Irelli, Domenico Fiorenza, Eugenio Landi +1

Given a decorated planar graph $(G, ω)$ , where $G$ is a planar graph and $ω \in H^{1} (∣ Q G ∣, Z)$ with $Q G$ the directed medial graph of $G$ , we call some ang…

math.AT2022

Integrals detecting degree 3 string cobordism classes

Domenico Fiorenza, Eugenio Landi

The third string bordism group $Bord_{3}^{String}$ is known to be $Z /24 Z$ . Using Waldorf's notion of a geometric string structure on a manifold, B…

math.AT2021

The (anti-)holomorphic sector in $C /Λ$ -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 $A^$ -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 $Z$ -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