{"id":3820,"date":"2005-03-14T06:02:00","date_gmt":"2005-03-13T21:02:00","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/?p=3820"},"modified":"2021-08-12T12:01:15","modified_gmt":"2021-08-12T03:01:15","slug":"%e1%84%83%e1%85%a1%e1%84%8b%e1%85%a3%e1%86%bc%e1%84%8e%e1%85%a6-%e1%84%80%e1%85%a1%e1%86%bc%e1%84%8b%e1%85%b4%e1%84%8b%e1%85%ad%e1%84%8b%e1%85%a3%e1%86%a8","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/2005\/03\/14\/%e1%84%83%e1%85%a1%e1%84%8b%e1%85%a3%e1%86%bc%e1%84%8e%e1%85%a6-%e1%84%80%e1%85%a1%e1%86%bc%e1%84%8b%e1%85%b4%e1%84%8b%e1%85%ad%e1%84%8b%e1%85%a3%e1%86%a8\/","title":{"rendered":"\u1103\u1161\u110b\u1163\u11bc\u110e\u1166-\u1100\u1161\u11bc\u110b\u1174\u110b\u116d\u110b\u1163\u11a8"},"content":{"rendered":"<p> \ubbf8\ubd84\uac00\ub2a5\ub2e4\uc591\uccb4\ub860\uc758 \uac15\uc758\ubaa9\ud45c\ub294 \ub2e4\uc591\uccb4\uc758 \uad6c\uc870\ub97c \ubc1d\ud788\ub294 \uba87 \uac00\uc9c0 \uc77c\ubc18\uc801\uc778 \ubc29\ubc95 \uac00\uc6b4\ub370 \ud558\ub098\uc778 de Rham &#8211; Hodge \uc758 \uc774\ub860\uc774\ub2e4. \uc804\uccb4\uc801\uc778 \ub0b4\uc6a9\uc740 Frank Warner\uc758 \uc720\uba85\ud55c \uad50\uacfc\uc11c\uc778 Foundations of Differential Manifolds and Lie Groups \ub97c \ub530\ub978\ub2e4. \uc774 \uad50\uacfc\uc11c\ub294 \ub9e4\uc6b0 \uc798 \uc4f4 \uac83\uc774\uc9c0\ub9cc \ud55c \ud559\uae30\uc5d0 \ub9de\ucd94\uae30 \uc704\ud558\uc5ec \ub2e4\ub978 \ucc45\uacfc \ubcd1\ud589\ud574\uc11c \ub098\uac04\ub2e4. \uac15\uc758\uc758 \uc2a4\ud0c0\uc77c\uc740 \ub0b4\uc6a9\uc744 \ub530\ub77c\uac00\ub418 \ub9ce\uc740 \ubcf5\uc7a1\ud55c \uc815\ub9ac\uc758 \uc99d\uba85\uc740 \ube7c\uace0 \uc608(example)\ub97c \ud1b5\ud558\uc5ec \uc774\ud574\ud558\ub294 \ubc29\uc2dd\uc744 \uc4f4\ub2e4. \ud2b9\ud788 \uac15\uc758\ub97c \uc218\uc6d4\ud558\uac8c \ub530\ub77c\uac08 \uc218 \uc788\ub3c4\ub85d \uc120\uc218\uacfc\ubaa9\uc758 \ub0b4\uc6a9\ub3c4 \uc11e\uc5b4\uc11c \uc774\uc57c\uae30\ud558\uba70 \uc774\uc5d0 \ud544\uc694\ud55c \ub0b4\uc6a9\uc744 \ub2f4\uc740 \ucc38\uace0\uc11c\ub97c \uad50\uacfc\uc11c\ub85c \uc0ac\uc6a9\ud55c\ub2e4. \uad6c\uccb4\uc801\uc778 \ub0b4\uc6a9\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4. <\/p>\n<ul class=\"org-ul\">\n<li>\ubbf8\uc801\ubd84\ud559 \ubc0f \ud589\ub82c: \uac00\uc7a5 \uae30\ucd08\uac00 \ub418\ub294 \ud589\ub82c\uacfc \ubca1\ud130\ud574\uc11d \ubd80\ubd84\uc758 \uae30\ubcf8\uc774 \uc4f0\uc5ec \uc788\ub2e4.<\/li>\n<li>\ud574\uc11d\ud559: \ubbf8\ubd84\ud615\uc2dd\uc758 \uc801\ubd84\uc774\ub860\uc740 \uc774 \uad50\uacfc\uc11c\ub97c \ucc38\uc870\ud55c\ub2e4. \ub2e8\uc9c0 \uac1c\uac1c\uc778\uc774 \uacf5\ubd80\ud55c \uad50\uacfc\uc11c\uac00 \ubaa8\ub450 \ud2c0\ub9ac\ubbc0\ub85c \uc790\uc2e0\uc758 \uad50\uacfc\uc11c\ub85c \uacf5\ubd80\ud558\uba74 \ub418\uc9c0\ub9cc \ubd80\uc871\ud55c \ubd80\ubd84\uc774 \uc788\ub294 \uacbd\uc6b0\uc5d0\ub294 Walter Rudin\uc758 Principles of Mathematical Analysis\ub97c \uacf5\ud1b5 \ucc38\uace0\uc11c\ub85c \uc0ac\uc6a9\ud55c\ub2e4.<\/li>\n<li>\uc120\ud615\ub300\uc218: \uc5ec\uae30\uc11c \ud544\uc694\ud55c \uc120\ud615\ub300\uc218\uc758 \ub0b4\uc6a9\uc740 \uadf8 \uc804\uccb4\ub77c\uace0 \ud560 \uc218 \uc788\ub2e4. \ud2b9\ubcc4\ud788 \ub0b4\uc801\uacf5\uac04\uc758 \uc774\ub860\uc744 \ub9ce\uc774 \uc0ac\uc6a9\ud558\uc9c0\ub294 \uc54a\uc9c0\ub9cc \uc77c\ubc18\uc801\uc778 basis change\uc758 \uc774\ub860\uacfc duality \ubc0f multilinear algebra\uc758 \uc774\ub860\uc740 \ub9e4\uc6b0 \uc911\uc694\ud558\ub2e4. \uc774 \uac00\uc6b4\ub370 multilinear algebra\ub294 \uc2dc\uac04\uc911\uc5d0 \uacf5\ubd80\ud560 \uac83\uc774\uba70 \uadf8 \ubc16\uc758 \uac83\uc740 \uc2a4\uc2a4\ub85c \uacf5\ubd80\ud558\uc5ec \ucc44\uc6cc\ub123\uae30\ub85c \ud55c\ub2e4.<\/li>\n<li>\ub2e4\uc591\uccb4\uc758 \uc704\uc0c1\uc801\uc778 \uc131\uc9c8\uc744 \uc798 \uc124\uba85\ud55c \ucc45\uc740 Boothby\uc758 \uad50\uacfc\uc11c\uc774\ub2e4. \uadf8\ub7ec\ub098 \uc774\uac83\uc740 \ucc38\uace0\uc11c\ub85c\uc11c \uadf8\uce5c\ub2e4. \ud544\uc694\ud55c \uc0ac\ub78c\ub9cc \uc77d\uc5b4\ubcf4\uae30\ub85c \ud55c\ub2e4.<\/li>\n<li>\ubbf8\ubd84\ubc29\uc815\uc2dd\uc758 \uc774\ub860\uc744 \uc798 \uc124\uba85\ud55c \uac83\ub3c4 \uc774 \ucc45\uc774\ub2e4. \uc774 \ubd80\ubd84\uc740 \uc2dc\uac04\uc911\uc5d0 \uc9da\uace0 \ub118\uc5b4\uac08 \uac83\uc774\ub2e4.<\/li>\n<li>\ub2e4\uc591\uccb4\uc758 \uc608\ub85c\uc11c \uac00\uc7a5 \uc911\uc694\ud55c \uac83\uc740 Lie group\uc774\ub2e4. \uc6b0\ub9ac\ub294 Warner\uc758 \uad50\uacfc\uc11c\uc5d0\uc11c \uae30\ubcf8\uc801\uc778 \uc608 \uba87 \uac1c\ub9cc \uac00\uc9c0\uace0 Lie group\uacfc Lie algebra\uc758 \uac00\uc7a5 \uae30\ubcf8\uc801\uc778 \ub0b4\uc6a9\ub9cc \uc54c\uc544\ubcf8\ub2e4.<\/li>\n<li>Sheaf\uc758 Cohomology \uc774\ub860\uc740 \uac04\ub7b5\ud55c \ub178\ud2b8\ub97c \ub9cc\ub4e4\uc5b4 \ubcf4\uaca0\uc9c0\ub9cc \uba87 \uac00\uc9c0 \uc911\uc694\ud55c \uc608\uc640 definition, \uadf8\ub9ac\uace0 \uc911\uc694\ud55c \uc815\ub9ac \uba87 \uac1c\ub97c \uc18c\uac1c\ud568\uc73c\ub85c\uc368 \uc5b4\ub5a0\ud55c \uc774\ub860\uc774 \uc804\uac1c\ub418\uace0 \uc788\ub294\uac00\ub9cc \uc54c\uc544\ubcf8\ub2e4. \uc790\uc138\ud55c \ub0b4\uc6a9\uc774 \ud544\uc694\ud55c \uc0ac\ub78c\uc740 \ub300\uc218\uc704\uc0c1\uae30\ud558\uc758 singular \ub610\ub294 simplicial homology\uc640 cohomology \uc774\ub860\uc744 \uacf5\ubd80\ud55c \ub2e4\uc74c Cech\uc758 \uc774\ub860\uc744 \uacf5\ubd80\ud55c \ub2e4\uc74c\uc5d0\ub294 \uace7\ubc14\ub85c \uc774\ud574\ud560 \uc218 \uc788\ub2e4.<\/li>\n<li>Hodge\uc758 \uc774\ub860\uc740 \uc218\ud559\uc758 \ubaa8\ub4e0 \ubd84\uc57c\ub97c \ucd1d \ub9dd\ub77c\ud558\ub294 \uc774\ub860\uc73c\ub85c\uc11c \uac70\ucc3d\ud558\uac8c \uc774\uc57c\uae30\ud558\uba74, \ub9ac\ub9cc \ub2e4\uc591\uccb4\uc758 \ubbf8\ubd84\uc791\uc6a9\uc18c, \ud0c0\uc6d0\ud615 \ud3b8\ubbf8\ubd84\ubc29\uc815\uc2dd\uc758 \ud574\uc758 \uc815\uce59\uc131 \ub4f1\uc744 de Rham\uc758 cohomology class\uc5d0 \uc801\uc6a9\ud568\uc73c\ub85c\uc368 cohomology element\ub97c \uacc4\uc0b0\ud560 \uc218 \uc788\ub294 \ubbf8\ubd84\ud615\uc2dd \uac00\uc6b4\ub370\uc11c\ub3c4 \uc544\uc8fc \uc88b\uc740 \ub300\uc0c1(harmonic form)\ub4e4\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4\ub294 \uc774\ub860\uc774\ub2e4. \uc6b0\ub9ac\ub294 \uc815\ub9ac\uc758 \uc99d\uba85\ub4e4\uc740 \ub300\ub7b5\uc801\uc73c\ub85c \ud6d1\uc744 \uc608\uc815\uc774\uba70 \uac01 \uc774\ub860\uc5d0\uc11c \ub4f1\uc7a5\ud558\ub294 \uac1c\ub150\uc758 \uc815\uc758\ub97c \uc81c\ub300\ub85c \ud30c\uc545\ud558\uace0 \uad6c\uccb4\uc801\uc778 \uc608\ub97c \ubcfc \uc218 \uc788\uc73c\uba74 \ucda9\ubd84\ud560 \uac83\uc774\ub2e4.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\ubbf8\ubd84\uac00\ub2a5\ub2e4\uc591\uccb4\ub860\uc758 \uac15\uc758\ubaa9\ud45c\ub294 \ub2e4\uc591\uccb4\uc758 \uad6c\uc870\ub97c \ubc1d\ud788\ub294 \uba87 \uac00\uc9c0 \uc77c\ubc18\uc801\uc778 \ubc29\ubc95 \uac00\uc6b4\ub370 \ud558\ub098\uc778 de Rham &#8211; Hodge \uc758 \uc774\ub860\uc774\ub2e4. \uc804\uccb4\uc801\uc778 \ub0b4\uc6a9\uc740 Frank Warner\uc758 \uc720\uba85\ud55c \uad50\uacfc\uc11c\uc778 Foundations of Differential Manifolds and Lie Groups \ub97c \ub530\ub978\ub2e4. \uc774 \uad50\uacfc\uc11c\ub294 \ub9e4\uc6b0 \uc798 \uc4f4 \uac83\uc774\uc9c0\ub9cc \ud55c \ud559\uae30\uc5d0 \ub9de\ucd94\uae30 \uc704\ud558\uc5ec \ub2e4\ub978 \ucc45\uacfc \ubcd1\ud589\ud574\uc11c \ub098\uac04\ub2e4. \uac15\uc758\uc758 \uc2a4\ud0c0\uc77c\uc740 \ub0b4\uc6a9\uc744 \ub530\ub77c\uac00\ub418 \ub9ce\uc740 \ubcf5\uc7a1\ud55c \uc815\ub9ac\uc758 \uc99d\uba85\uc740 \ube7c\uace0 &#8230; <a title=\"\u1103\u1161\u110b\u1163\u11bc\u110e\u1166-\u1100\u1161\u11bc\u110b\u1174\u110b\u116d\u110b\u1163\u11a8\" class=\"read-more\" href=\"https:\/\/mathematicians.korea.ac.kr\/ywkim\/2005\/03\/14\/%e1%84%83%e1%85%a1%e1%84%8b%e1%85%a3%e1%86%bc%e1%84%8e%e1%85%a6-%e1%84%80%e1%85%a1%e1%86%bc%e1%84%8b%e1%85%b4%e1%84%8b%e1%85%ad%e1%84%8b%e1%85%a3%e1%86%a8\/\" aria-label=\"\u1103\u1161\u110b\u1163\u11bc\u110e\u1166-\u1100\u1161\u11bc\u110b\u1174\u110b\u116d\u110b\u1163\u11a8\uc5d0 \ub300\ud574 \ub354 \uc790\uc138\ud788 \uc54c\uc544\ubcf4\uc138\uc694\">\ub354 \uc77d\uae30<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3820","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"\uae40\uc601\uc6b1","distributor_original_site_url":"https:\/\/mathematicians.korea.ac.kr\/ywkim","push-errors":false,"_links":{"self":[{"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/posts\/3820","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/comments?post=3820"}],"version-history":[{"count":1,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/posts\/3820\/revisions"}],"predecessor-version":[{"id":3821,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/posts\/3820\/revisions\/3821"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/media?parent=3820"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/categories?post=3820"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/ywkim\/wp-json\/wp\/v2\/tags?post=3820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}