An explicit construction of a maximal relative symplectic packing of the Clifford torus

TL;DR

This paper provides an explicit method for symplectically packing a ball into the pair (CP^2, T^2), confirming the optimality of previously established bounds for this geometric configuration.

Contribution

It introduces a concrete construction of a maximal relative symplectic packing of the Clifford torus, validating the sharpness of known upper bounds.

Findings

Confirmed the sharpness of the upper bound for packing into (CP^2, T^2)

Provided an explicit construction for the maximal packing

Validated theoretical bounds with concrete example

Abstract

In this paper we present an explicit construction of a relative symplectic packing. This confirms the sharpness of the upper bound for the relative packing of a ball into the pair (CP^2, T^2) of the standard complex projective plane and the Clifford torus, obtained by Biran and Cornea.