Lagrangian Floer homology of the Clifford torus and real projective space in odd dimensions

TL;DR

This paper computes the Floer homology of the pair (RP^n, T^n) specifically for odd dimensions, providing new insights into their symplectic topology.

Contribution

It presents the first explicit calculation of Floer homology for (RP^n, T^n) in odd dimensions, expanding understanding of Lagrangian intersections.

Findings

Floer homology of (RP^n, T^n) is explicitly calculated for odd n

Results reveal new symplectic invariants for real projective spaces

Enhances understanding of Lagrangian Floer theory in odd-dimensional cases

Abstract

The Floer homology of (RP^n,T^n) is calculated, for n odd.