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<head><title>HH -- general homology and cohomology functor</title>
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<div><h1>HH -- general homology and cohomology functor</h1>
<div class="single"><h2>Description</h2>
<div><tt>HH</tt> is a <a href="___Scripted__Functor.html" title="the class of all scripted functors">ScriptedFunctor</a> which serves as an interface to the methods for <a href="_homology.html" title="general homology functor">homology</a> and <a href="_cohomology.html" title="general cohomology functor">cohomology</a>, in the sense that, <tt>HH_i(M)</tt> is an abbreviation for <tt>homology(i,M)</tt> <tt>HH^i(M)</tt> is an abbreviation for <tt>cohomology(i,M)</tt>, and <tt>HH(M)</tt> is an abbreviation for <tt>homology(,M)</tt>. A second argument and optional arguments may be added.</div>
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<div class="waystouse"><h2>Ways to use <tt>HH</tt> :</h2>
<ul><li><span><a href="___H__H_sp__Chain__Complex.html" title="homology of a chain complex">HH ChainComplex</a> -- homology of a chain complex</span></li>
<li><span><a href="___H__H_sp__Chain__Complex__Map.html" title="homology of a chain complex map">HH ChainComplexMap</a> -- homology of a chain complex map</span></li>
<li><span><a href="___H__H^__Z__Z_sp__Chain__Complex.html" title="cohomology of a chain complex">HH^ZZ ChainComplex</a> -- cohomology of a chain complex</span></li>
<li><span><a href="___H__H^__Z__Z_sp__Chain__Complex__Map.html" title="cohomology of a chain complex map">HH^ZZ ChainComplexMap</a> -- cohomology of a chain complex map</span></li>
<li><span><a href="___H__H^__Z__Z_sp__Coherent__Sheaf.html" title="cohomology of a coherent sheaf on a projective variety">HH^ZZ CoherentSheaf</a> -- cohomology of a coherent sheaf on a projective variety</span></li>
<li><span><a href="___H__H^__Z__Z_sp__Module.html" title="local cohomology of a module">HH^ZZ Module</a> -- local cohomology of a module</span></li>
<li><span><a href="___H__H^__Z__Z_sp__Sheaf__Of__Rings.html" title="cohomology of a sheaf of rings on a projective variety">HH^ZZ SheafOfRings</a> -- cohomology of a sheaf of rings on a projective variety</span></li>
<li><span><a href="___H__H^__Z__Z_sp__Sum__Of__Twists.html" title="coherent sheaf cohomology module">HH^ZZ SumOfTwists</a> -- coherent sheaf cohomology module</span></li>
<li><span><a href="___H__H_us__Z__Z_sp__Chain__Complex.html" title="homology of a chain complex">HH_ZZ ChainComplex</a> -- homology of a chain complex</span></li>
<li><span><a href="___H__H_us__Z__Z_sp__Chain__Complex__Map.html" title="homology of a chain complex map">HH_ZZ ChainComplexMap</a> -- homology of a chain complex map</span></li>
<li><span><a href="___H__H_us__Z__Z_sp__Sequence.html" title="">HH_ZZ Sequence</a></span></li>
<li><span><a href="_homology_lp__Matrix_cm__Matrix_rp.html" title="homology of a pair of maps">homology(Matrix,Matrix)</a> -- homology of a pair of maps</span></li>
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<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___H__H.html" title="general homology and cohomology functor">HH</a> is <span>a <a href="___Scripted__Functor.html">scripted functor</a></span>.</p>
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