| Record ID | marc_columbia/Columbia-extract-20221130-009.mrc:195075691:3719 |
| Source | marc_columbia |
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LEADER: 03719cam a22003374a 4500
001 4186075
005 20221027051748.0
008 030527t20032003riua b 001 0 eng
010 $a 2003052414
020 $a0821829556 (alk. paper)
035 $a(OCoLC)ocm52374327
035 $a(NNC)4186075
035 $a4186075
040 $aDLC$cDLC$dC#P$dOrLoB-B
042 $apcc
050 00 $aQC174.17.S9$bM5617 2003
082 00 $a530.14/3$221
245 00 $aMirror symmetry /$cKentaro Hori [and others].
260 $aProvidence, RI :$bAmerican Mathematical Society ;$aCambridge, MA :$bClay Mathematics Institute,$c[2003], ©2003.
300 $axx, 929 pages :$billustrations ;$c27 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aClay mathematics monographs,$x1539-6061 ;$vv. 1
504 $aIncludes bibliographical references (p. 905-919) and index.
505 00 $gPt. 1.$tMathematical Preliminaries -- $gCh. 1.$tDifferential Geometry -- $gCh. 2.$tAlgebraic Geometry -- $gCh. 3.$tDifferential and Algebraic Topology -- $gCh. 4.$tEquivariant Cohomology and Fixed-Point Theorems -- $gCh. 5.$tComplex and Kahler Geometry -- $gCh. 6.$tCalabi Yan Manifolds and Their Moduli -- $gCh. 7.$tToric Geometry for String Theory -- $gPt. 2.$tPhysics Preliminaries -- $gCh. 8.$tWhat Is a QFT? -- $gCh. 9.$tQFT in d = 0 -- $gCh. 10.$tQFT in Dimension 1: Quantum Mechanics -- $gCh. 11.$tFree Quantum Field Theories in 1 + 1 Dimensions -- $gCh. 12.$tN = (2,2) Supersymmetry -- $gCh. 13.$tNon-linear Sigma Models and Landau-Ginzburg Models -- $gCh. 14.$tRenormalization Group Flow -- $gCh. 15.$tLinear Sigma Models -- $gCh. 16.$tChiral Rings and Topological Field Theory -- $gCh. 17.$tChiral Rings and the Geometry of the Vacuum Bundle -- $gCh. 18.$tBPS Solitons N = 2 Landau - Ginzburg Theories -- $gCh. 19.$tD-branes -- $gPt. 3.$tMirror Symmetry: Physics Proof -- $gCh. 20.$tProof of Mirror Symmetry -- $gPt. 4.$tMirror Symmetry: Mathematics Proof -- $gCh. 21.$tIntroduction and Overview -- $gCh. 22.$tComplex Curves (Non-singular and Nodal) -- $gCh. 23.$tModuli Spaces of Curves -- $gCh. 24.$tModuli Spaces [actual symbol not reproducible] of Stable Maps -- $gCh. 25.$tCohomology Classes on [actual symbol not reproducible] and [actual symbol not reproducible] -- $gCh. 26.$tThe Virtual Fundamental Class, Gromov-Witten Invariants, and Descendant Invariants -- $gCh. 27.$tLocalization on the Moduli Space of Maps -- $gCh. 28.$tThe Fundamental Solution of the Quantum Differential Equation -- $gCh. 29.$tThe Mirror Conjecture for Hypersurfaces I: The Fano Case -- $gCh. 30.$tThe Mirror Conjecture for Hypersurfaces II: The Calabi-Yau Case -- $gPt. 5.$tAdvanced Topics -- $gCh. 31.$tTopological Strings -- $gCh. 32.$tTopological Strings and Target Space Physics -- $gCh. 33.$tMathematical Formulation of Gopakumar-Vafa Invariants -- $gCh. 34.$tMultiple Covers, Integrality, and Gopakumar - Vafa Invariants -- $gCh. 35.$tMirror Symmetry at Higher Genus -- $gCh. 36.$tSome Applications of Mirror Symmetry -- $gCh. 37.$tAspects of Mirror Symmetry and D-branes -- $gCh. 38.$tMore on the Mathematics of D-branes: Bundles, Derived Categories, and Lagrangians -- $gCh. 39.$tBoundary N = 2 Theories -- $gCh. 40.$tReferences.
650 0 $aMirror symmetry.$0http://id.loc.gov/authorities/subjects/sh96008323
650 0 $aCalabi-Yau manifolds.$0http://id.loc.gov/authorities/subjects/sh91005064
650 0 $aGeometry, Enumerative.$0http://id.loc.gov/authorities/subjects/sh85054148
700 1 $aHori, Kentaro.$0http://id.loc.gov/authorities/names/n2003010523
830 0 $aClay mathematics monographs ;$vv. 1.$0http://id.loc.gov/authorities/names/n2003010518
852 00 $bmat$hQC174.17.S9$iM5617 2003