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Controlling carbon emissions and sustaining growth constitute essential concerns in the post-financial crisis era combined with low-carbon sustainable development. However, the impact of financial development on carbon emissions remains controversial and lacks mechanisms investigation covering finance spatial attributes. Relying on China province's data during 2005–2019, this paper contributes to the literature by constructing multi-spatial models to investigate how financial geo-density mitigates carbon emission intensity and explore the spatial transmission mechanisms. The results reveal that there is a balance between financial geo-density and carbon emission intensity. The intrinsic mechanisms include: (1) raising financial geo-density is accompanied by the law of marginal diminishing carbon emission intensity tendency; (2) high financial geo-density accelerates technological innovation and industrial structure upgrading, thereby decreasing carbon emission intensity, but drives industrial-scale expansion, thereby increasing carbon emission intensity; and (3) financial institution competition and inter-industry linkage notably influence the relationship between financial geo-density and carbon emission intensity, promoting the emission reduction effect of financial geo-density in accelerating technological innovation and industrial structure upgrading, and suppressing the emission increase effect of financial geo-density in driving industrial expansion. Our findings provide new insights for developing systemic emission reduction policies for employing financial sectors as catch-all and integrating industries and competition. • Mechanism analysis of financial geo-density affects carbon emission intensity (IC). • Propose an integrated spatial model including spatial mediated moderating effects. • Financial geo-density drives IC by industrial-scale expansion. • Reduce IC by technological innovation and industrial upgrading. • Financial institution rivalry and inter-industry link mitigate total driven effect. [ABSTRACT FROM AUTHOR]

China has incorporated green technology innovation into its national development strategy based on its national conditions and development needs. The emission permit system is a typical environmental regulation, and one of the driving forces of green technology innovation. Research into the pollution discharge permits system is a key for improving environmental regulations. This study seeks to investigate the impact of pollution permits system on green innovation in China. Using econometric methods, we constructed and tested the model of green technology innovation incentives based on the emission permits system, and applied it to several Chinese counties and districts. The results revealed shortcomings in implementation of the emission permits system in various counties and districts. From a governmental perspective, this was due to poor standardization of management processes and insufficiently innovative supervisory methods. On the corporate side, problems included poor auditing of law enforcement plans, poor implementation of the ledger system, and a lack of disclosure of pollution data. We propose comprehensive strategies to address these issues. This paper explores the emission reduction potential of the pollution discharge permits system at the county level, in accordance with the Porter hypothesis, and provides reference data for the formulation and optimization of energy conservation and emission reduction policies. This will promote green development of the chemical and other industries, and green technology innovation in China. • We explore the pollution discharge permits system at the county level. • We construct a model of the impact of pollution discharge permits system. • We put forward some strategies for promoting green technology innovation. [ABSTRACT FROM AUTHOR]