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020 _a9783540680307
_9978-3-540-68030-7
024 7 _a10.1007/978-3-540-68030-7
_2doi
050 4 _aQC5.53
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
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072 7 _aPHU
_2thema
082 0 4 _a530.15
_223
245 1 0 _aHomological Mirror Symmetry
_h[electronic resource] :
_bNew Developments and Perspectives /
_cedited by Karl-Georg Schlesinger, Maximilian Kreuzer, Anton Kapustin.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _aXI, 272 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v757
505 0 _aThe Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint -- B-Type D-Branes in Toric Calabi#x2013;Yau Varieties -- Topological String Theory on Compact Calabi#x2013;Yau: Modularity and Boundary Conditions -- Gauge Theory, Mirror Symmetry, and the Geometric Langlands Program -- Homological Mirror Symmetry and Algebraic Cycles -- Notes on A#x0221E;-Algebras, A#x0221E;-Categories and Non-Commutative Geometry -- On Non-Commutative Analytic Spaces Over Non-Archimedean Fields -- Derived Categories and Stacks in Physics.
520 _aHomological Mirror Symmetry, the study of dualities of certain quantum field theories in a mathematically rigorous form, has developed into a flourishing subject on its own over the past years. The present volume bridges a gap in the literature by providing a set of lectures and reviews that both introduce and representatively review the state-of-the art in the field from different perspectives. With contributions by K. Fukaya, M. Herbst, K. Hori, M. Huang, A. Kapustin, L. Katzarkov, A. Klemm, M. Kontsevich, D. Page, S. Quackenbush, E. Sharpe, P. Seidel, I. Smith and Y. Soibelman, this volume will be a reference on the topic for everyone starting to work or actively working on mathematical aspects of quantum field theory.
650 0 _aMathematical physics.
650 0 _aAlgebra.
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aCategory Theory, Homological Algebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11035
650 2 4 _aQuantum Field Theories, String Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19048
700 1 _aSchlesinger, Karl-Georg.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aKreuzer, Maximilian.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aKapustin, Anton.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642087677
776 0 8 _iPrinted edition:
_z9783540863748
776 0 8 _iPrinted edition:
_z9783540680291
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v757
856 4 0 _uhttps://doi.org/10.1007/978-3-540-68030-7
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c11360
_d11360