Almost equivalences between Tamarkin category and Novikov sheaves

TL;DR

This paper explores the connection between Tamarkin categories and Novikov sheaves, demonstrating an almost equivalence in the context of equivariant categories and Novikov rings, advancing understanding in symplectic topology and sheaf theory.

Contribution

It establishes an almost equivalence between the equivariant Tamarkin category and derived complete modules over the Novikov ring, linking two important mathematical frameworks.

Findings

Proves an almost equivalence between Tamarkin categories and Novikov sheaves.

Connects equivariant Tamarkin categories with Novikov ring modules.

Advances the understanding of symplectic topology and sheaf theory.

Abstract

We revisit the relationship between the Tamarkin's extra variable $t$ and Novikov rings. We prove that the equivariant version of Tamarkin category is almost equivalent (in the sense of almost mathematics) to the category of derived complete modules over the Novikov ring.