鹏之徙于南冥，勿归斥鴳数韧蒿.|When the Roc seeks the Southern Sea’s deep, Return not to sparrows counting withered reeds.https://www.homeward-sky.top/https://www.homeward-sky.top/en/article/anyon_cs/https://www.homeward-sky.top/en/article/anyon_cs/An introduction to Chern-Simons theory through the study of anyons in two-dimensional space, whose Schrödinger equation is Knizhnik-Zamolodchikov equation.Sun, 02 Nov 2025 00:00:00 GMTMathPhysicsTopologyhttps://www.homeward-sky.top/en/article/bilibili_coding_stream/https://www.homeward-sky.top/en/article/bilibili_coding_stream/Using iPad + SideCar + SonoBus to build a cloud-based study room and stream my daily coding workflow.Mon, 02 Mar 2026 00:00:00 GMTSoftware EngineeringProgramminghttps://www.homeward-sky.top/en/article/cech_hyper/https://www.homeward-sky.top/en/article/cech_hyper/We use the tools of derived functor and sheaf cohomology to understand Čech-de Rham complex we introduced in the previous blog, which is a model of the derived global section of Deligne complex.Wed, 15 Oct 2025 00:00:00 GMTMathPhysicsTopologyAbstract Nonsensehttps://www.homeward-sky.top/en/article/comment/https://www.homeward-sky.top/en/article/comment/I added a homemade comment system to my blog, built on a Serverless architecture and GitHub Discussions.Wed, 22 Oct 2025 00:00:00 GMTProgrammingNetworkToolingDevOpshttps://www.homeward-sky.top/en/article/copilot_neovim/https://www.homeward-sky.top/en/article/copilot_neovim/"Misleading" can also lead to "Enlightenment".Tue, 03 Feb 2026 00:00:00 GMTSoftware EngineeringProgramminghttps://www.homeward-sky.top/en/article/cs_ybe/https://www.homeward-sky.top/en/article/cs_ybe/The Kontsevich integral could be found in perturbative Chern-Simons theory, which could be associated with the Yang-Baxter equation and R matrix.Tue, 18 Nov 2025 00:00:00 GMTMathPhysicsTopologyhttps://www.homeward-sky.top/en/article/float_and_pin/https://www.homeward-sky.top/en/article/float_and_pin/Implementing pinned floating windows on MacOS via Objective-C code injection, using the kitty terminal as an example, without disabling SIP.Mon, 01 Sep 2025 00:00:00 GMTmacOSProgramminghttps://www.homeward-sky.top/en/article/global_rcft/https://www.homeward-sky.top/en/article/global_rcft/Constructing higher genus rational conformal field theories from local ones via sewing procedure.Fri, 02 Jan 2026 00:00:00 GMTMathPhysicsTopologyAlgebraAbstract Nonsensehttps://www.homeward-sky.top/en/article/graph_monad/https://www.homeward-sky.top/en/article/graph_monad/The definition of Feynman rules can be captured using the language of monads, and the "renormalization" procedure corresponds to the bar construction.Tue, 16 Dec 2025 00:00:00 GMTMathPhysicsAlgebraAbstract Nonsensehttps://www.homeward-sky.top/en/article/out_of_world/https://www.homeward-sky.top/en/article/out_of_world/For fresh water comes from the source.Sun, 30 Nov 2025 00:00:00 GMTMiscellaneousProsehttps://www.homeward-sky.top/en/article/syntax/https://www.homeward-sky.top/en/article/syntax/List of Typst Syntax, for rendering tests.Thu, 14 Aug 2025 00:00:00 GMTProgrammingTypsthttps://www.homeward-sky.top/en/article/two_roads/https://www.homeward-sky.top/en/article/two_roads/Each is a path to truth.Fri, 24 Oct 2025 00:00:00 GMTMiscellaneousProsehttps://www.homeward-sky.top/en/article/typst_md_tex/https://www.homeward-sky.top/en/article/typst_md_tex/Affliction is Bodhi.Sat, 16 Aug 2025 00:00:00 GMTProgrammingTypsthttps://www.homeward-sky.top/en/article/u1_grav/https://www.homeward-sky.top/en/article/u1_grav/U(1)-gravity mixed anomaly in bc CFT manifests as Riemann-Roch TheoremSun, 14 Sep 2025 00:00:00 GMTPhysicsQuantum Field TheoryTopologyhttps://www.homeward-sky.top/en/article/wrong_spacetime/https://www.homeward-sky.top/en/article/wrong_spacetime/Choose left, choose right, truth ascends.Thu, 09 Apr 2026 00:00:00 GMTProseProgrammingSoftware Engineeringhttps://www.homeward-sky.top/en/article/zettel_agent/https://www.homeward-sky.top/en/article/zettel_agent/Combining Typst Zettelkasten note system with Claude Code skills and agents to minimize note maintenance friction and bring thinking back to center.Tue, 24 Feb 2026 00:00:00 GMTSoftware EngineeringProgramminghttps://www.homeward-sky.top/en/article/zettel_typst/https://www.homeward-sky.top/en/article/zettel_typst/Using Zettelkasten methodology with AI collaboration to achieve self-growth of a Typst note-taking system.Sun, 15 Feb 2026 00:00:00 GMTSoftware EngineeringProgramminghttps://www.homeward-sky.top/zh/article/anyon_cs/https://www.homeward-sky.top/zh/article/anyon_cs/通过研究二维空间中的任意子来介绍陈 - 西蒙斯理论，其薛定谔方程即是 Knizhnik-Zamolodchikov 方程。Sun, 02 Nov 2025 00:00:00 GMTMathPhysicsTopologyhttps://www.homeward-sky.top/zh/article/cech_hyper/https://www.homeward-sky.top/zh/article/cech_hyper/我们使用导出函子和层上同调的工具来理解在之前的博客中介绍的 Čech-de Rham 复形，它是 Deligne 复形的导出全局截面的一个模型。Wed, 15 Oct 2025 00:00:00 GMTMathPhysicsTopologyAbstract Nonsensehttps://www.homeward-sky.top/zh/article/bilibili_coding_stream/https://www.homeward-sky.top/zh/article/bilibili_coding_stream/使用 iPad + SideCar + SonoBus 搭建云上自修室，直播写代码的日常工作流。Mon, 02 Mar 2026 00:00:00 GMTSoftware EngineeringProgramminghttps://www.homeward-sky.top/zh/article/comment/https://www.homeward-sky.top/zh/article/comment/我为我的博客添加了手搓的评论系统，基于 Serverless 架构和 GitHub Discussions。Wed, 22 Oct 2025 00:00:00 GMTProgrammingNetworkToolingDevOpshttps://www.homeward-sky.top/zh/article/copilot_neovim/https://www.homeward-sky.top/zh/article/copilot_neovim/“误导”亦可成“悟道”。Tue, 03 Feb 2026 00:00:00 GMTSoftware EngineeringProgramminghttps://www.homeward-sky.top/zh/article/float_and_pin/https://www.homeward-sky.top/zh/article/float_and_pin/利用 Objective-C 代码注入在 MacOS 中实现置顶浮动窗口，无需禁止 SIP，以 kitty 终端为例。Mon, 01 Sep 2025 00:00:00 GMTmacOSProgramminghttps://www.homeward-sky.top/zh/article/cs_ybe/https://www.homeward-sky.top/zh/article/cs_ybe/Kontsevich 积分可以在微扰 Chern-Simons 理论中找到，它与 Yang-Baxter 方程和 R 矩阵相关联。Tue, 18 Nov 2025 00:00:00 GMTMathPhysicsTopologyhttps://www.homeward-sky.top/zh/article/global_rcft/https://www.homeward-sky.top/zh/article/global_rcft/通过缝合程序从局部有理共形场论构造高亏格有理共形场论。Fri, 02 Jan 2026 00:00:00 GMTMathPhysicsTopologyAlgebraAbstract Nonsensehttps://www.homeward-sky.top/zh/article/graph_monad/https://www.homeward-sky.top/zh/article/graph_monad/费曼规则的定义可以通过单子（Monad）语言来捕捉，而“重整化”过程对应于相应的 bar construction。Tue, 16 Dec 2025 00:00:00 GMTMathPhysicsAlgebraAbstract Nonsensehttps://www.homeward-sky.top/zh/article/syntax/https://www.homeward-sky.top/zh/article/syntax/Typst 语法列表，用于渲染测试。Thu, 14 Aug 2025 00:00:00 GMTProgrammingTypsthttps://www.homeward-sky.top/zh/article/two_roads/https://www.homeward-sky.top/zh/article/two_roads/每一条都是前路。Fri, 24 Oct 2025 00:00:00 GMTMiscellaneousProsehttps://www.homeward-sky.top/zh/article/out_of_world/https://www.homeward-sky.top/zh/article/out_of_world/为有源头活水来。Sun, 30 Nov 2025 00:00:00 GMTMiscellaneousProsehttps://www.homeward-sky.top/zh/article/typst_md_tex/https://www.homeward-sky.top/zh/article/typst_md_tex/烦恼即菩提。Sat, 16 Aug 2025 00:00:00 GMTProgrammingTypsthttps://www.homeward-sky.top/zh/article/u1_grav/https://www.homeward-sky.top/zh/article/u1_grav/bc 共形场论中的 U(1)-引力混合反常体现为 Riemann-Roch 定理Sun, 14 Sep 2025 00:00:00 GMTPhysicsQuantum Field Theoryhttps://www.homeward-sky.top/zh/article/wrong_spacetime/https://www.homeward-sky.top/zh/article/wrong_spacetime/选择向左，选择向右，真相向上。Thu, 09 Apr 2026 00:00:00 GMTProseProgrammingSoftware Engineeringhttps://www.homeward-sky.top/zh/article/zettel_agent/https://www.homeward-sky.top/zh/article/zettel_agent/Typst Zettelkasten 笔记系统与 Claude Code 技能与代理结合，将笔记维护的摩擦力降到最低，让思考回归中心。Tue, 24 Feb 2026 00:00:00 GMTSoftware EngineeringProgramminghttps://www.homeward-sky.top/zh/article/zettel_typst/https://www.homeward-sky.top/zh/article/zettel_typst/Zettelkasten 方法与 AI 协同，实现 Typst 笔记系统的自我生长。Sun, 15 Feb 2026 00:00:00 GMTSoftware EngineeringProgramming