{"title":"规范理论概论","authors":"Andriy Haydys","doi":"10.1090/pcms/028/01","DOIUrl":null,"url":null,"abstract":"This is lecture notes for a course given at the PCMI Summer School \"Quantum Field Theory and Manifold Invariants\" (July 1 -- July 5, 2019). I describe basics of gauge-theoretic approach to construction of invariants of manifolds. The main example considered here is the Seiberg--Witten gauge theory. However, I tried to present the material in a form, which is suitable for other gauge-theoretic invariants too.","PeriodicalId":170247,"journal":{"name":"Quantum Field Theory and Manifold Invariants","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Introduction to gauge theory\",\"authors\":\"Andriy Haydys\",\"doi\":\"10.1090/pcms/028/01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is lecture notes for a course given at the PCMI Summer School \\\"Quantum Field Theory and Manifold Invariants\\\" (July 1 -- July 5, 2019). I describe basics of gauge-theoretic approach to construction of invariants of manifolds. The main example considered here is the Seiberg--Witten gauge theory. However, I tried to present the material in a form, which is suitable for other gauge-theoretic invariants too.\",\"PeriodicalId\":170247,\"journal\":{\"name\":\"Quantum Field Theory and Manifold Invariants\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-10-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quantum Field Theory and Manifold Invariants\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/pcms/028/01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Field Theory and Manifold Invariants","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/pcms/028/01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This is lecture notes for a course given at the PCMI Summer School "Quantum Field Theory and Manifold Invariants" (July 1 -- July 5, 2019). I describe basics of gauge-theoretic approach to construction of invariants of manifolds. The main example considered here is the Seiberg--Witten gauge theory. However, I tried to present the material in a form, which is suitable for other gauge-theoretic invariants too.