Akademik Veri Yönetim Sistemi
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.19, sa.10, 2022 (SCI-Expanded, Scopus)
This is an overview on certain higher structural constructions in physics. Main motivations of our current attempt are as follows: (i) to provide a brief introduction to the basics of derived algebraic geometry, (ii) to understand how certain derived objects naturally appear in physics and give rise to a formal mathematical treatment, and (iii) to investigate how the notion of a factorization algebra together with certain higher categorical structures come into play to encode the structure of observables in physics. Adopting such a heavy and relatively enriched language allows us to formalize the notions of quantization and observables in quantum field theory as well. This document is organized to explain the underlying mathematical treatment for each task in an expository manner.