Work

Function spaces on formal manifolds

Year: 2024

Type: preprint

Abstract: This is a paper in a series that studies smooth relative Lie algebra homologies and cohomologies based on the theory of formal manifolds and formal Lie groups. In a previous paper, we introduce the notion of formal manifolds and develop the foundational framework of formal manifolds. In this paper, we study various function spaces on formal manifolds, including generalizations of vector-valued generalized functions and vector-valued distributions on smooth manifolds to the setting of formal manifolds.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2407.09329

Authors: Chen, Fulin, Sun, Binyong, Wang, Chuyun

Institutions: Zhejiang University, Westlake University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Zhejiang University, Fundamental Research Funds for the Central Universities

Awards: G3514066670, G6029394018, G7408858139, G8130433012, G8609886551

OpenAlex ID: W4400668446

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