Superschool on Derived Categories and D-branes by Matthew Ballard & Charles Doran & David Favero & Eric Sharpe

Superschool on Derived Categories and D-branes by Matthew Ballard & Charles Doran & David Favero & Eric Sharpe

Author:Matthew Ballard & Charles Doran & David Favero & Eric Sharpe
Language: eng
Format: epub
ISBN: 9783319916262
Publisher: Springer International Publishing


On the B-side of mirror symmetry (complex structure), the most natural class of categories are called dg categories. A category is a differential graded (dg) category if for each there is a vector space over a field k which satisfies the following conditions;(1)It is a -graded vector space, the graded piece of weight i being denoted .

(2)It has a chosen differential

which increases degree by 1.

(3)If are in respectively, then

(4)For each , there is some so that for any and for any .



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